Every term pair shown.
No shortcuts. Each term from the left polynomial is multiplied against each term from the right, with the pairing labeled so you can check the work.
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Polynomial Multiplication Solver
Any polynomial product. Distributed, combined, expanded.
Type the product, paste it from a worksheet, or snap a photo of your homework. AskSia distributes every term, multiplies coefficients and exponents correctly, combines like terms by degree, and shows the final polynomial in standard form. Special products like difference of squares get recognized and labeled.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
98% · Verified
Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
What is polynomial multiplication?
Polynomial multiplication means distributing each term of one polynomial across every term of the other, then combining like terms. For two binomials this is FOIL: First, Outer, Inner, Last. For longer polynomials it is the same idea repeated until every pair of terms has been multiplied. Coefficients multiply, exponents with the same base add, and signs follow standard rules. The result is a single polynomial usually written in descending degree order.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for polynomial products.
Distribution kept transparent so you can follow every multiplication.
Special products labeled.
Difference of squares, perfect square trinomials, sum and difference of cubes get recognized and named, so you learn the pattern alongside the answer.
Patterns
Like terms grouped clearly.
After distribution AskSia lines up terms by degree, shows the addition, and writes the simplified polynomial in standard form.
Standard form
Graph included.
Cubic and quartic expansions get plotted so you can see roots, end behavior, and turning points visually.
Visual
Photo and voice input.
Take a picture of a printed or handwritten product. Speak it aloud. AskSia parses the polynomials and distributes.
Multi-modal
Exponent arithmetic shown.
When x^3 times x^4 becomes x^7, the rule appears alongside, reinforcing the law of exponents while you solve.
Educational
How It Works
Expand any polynomial product in three steps.
Step 01
Enter the polynomial product.
Type (2x+3)(x^2-x+4), paste it from a worksheet, snap a photo, or speak it. AskSia parses both factors and identifies their degrees.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia distributes term by term.
Each term of the first polynomial multiplies each term of the second. Coefficients multiply, exponents add, signs propagate. Every pair gets shown.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the simplified result.
Like terms combine by degree, the polynomial gets written in standard form, and a graph appears for visual confirmation when degree allows.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On
Solve anywhere
you study.
Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Web App
Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
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98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What you can do with the polynomial multiplication solver.
FOIL two binomials.
Standard Algebra 1 territory: (x+2)(x-5) and similar. AskSia walks through First, Outer, Inner, Last with each product labeled.
Algebra 1
Expand longer products.
Three-term polynomial times a four-term polynomial, or three polynomials multiplied together. AskSia handles the distribution at scale.
Algebra 2
Spot special products.
AskSia recognizes (a+b)(a-b), (a+b)^2, and (a-b)^2 and labels them, so the shortcut pattern sticks for the test.
Patterns
Build polynomials from factored form.
Given roots or factors, expand back to standard form to check a graphing problem or to set up further work.
Factored to standard
Pre-calculus expansion.
Multiply polynomials with complex coefficients, or expand binomials raised to a power using the binomial theorem.
Pre-Calc
Verify a homework answer.
Paste your expanded result and the original product. AskSia checks term by term and tells you which line went off.
Answer check
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
Does AskSia show FOIL or just give the answer?
It shows FOIL explicitly. For two binomials you see First, Outer, Inner, Last labeled with each individual product. For longer polynomials the same idea generalizes and every term pairing is shown before like terms combine.
Can I multiply more than two polynomials?
Yes. AskSia handles products of three or more polynomials by associating them and expanding in stages, showing the intermediate polynomial after each multiplication so you can follow the buildup.
Will it use the binomial theorem for things like (x+2)^5?
It can. For binomials raised to integer powers, AskSia applies the binomial theorem, lists each term with its binomial coefficient, and simplifies. You can also request the term-by-term expansion if you prefer to see every step.
Does it work with fractional or negative coefficients?
Yes. Fractions, decimals, negatives, and variables on the coefficients all work. AskSia keeps the arithmetic exact (no decimal rounding unless you ask for it) and shows the coefficient calculation for each term.
How accurate is AskSia?
AskSia hits 98% accuracy on standard high school and college coursework, measurably higher than ChatGPT, Photomath, and Symbolab on the same problem sets. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
Start Today
Distribute every term. Get the right expansion.
Join 2M+ students using AskSia to expand polynomial products with every step shown. Photo input, voice input, special product recognition, and a graph on every result. Free to start.
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