Subtract.
Your answer should be a polynomial in standard form.
$$
\left(-5 v^{3}-9 v^{2}+6 v\right)-\left(-5 v^{3}+9 v^{2}-6 v\right)=
$$

Question

Subtract.
Your answer should be a polynomial in standard form.
$$
\left(-5 v^{3}-9 v^{2}+6 v\right)-\left(-5 v^{3}+9 v^{2}-6 v\right)=
$$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Subtract the polynomials by combining like terms. ‖ ‖ step 2 ⋮ Simplify $(-5 v^3 - 9 v^2 + 6 v) - (-5 v^3 + 9 v^2 - 6 v)$. ‖ ‖ step 3 ⋮ Remove the parentheses and change the signs for the terms inside the second set of parentheses: $-5 v^3 - 9 v^2 + 6 v + 5 v^3 - 9 v^2 + 6 v$. ‖ ‖ step 4 ⋮ Combine like terms: $-5 v^3 + 5 v^3 - 9 v^2 - 9 v^2 + 6 v + 6 v$. ‖ ‖ step 5 ⋮ Simplify the expression: $0 v^3 - 18 v^2 + 12 v$. ‖ ‖ step 6 ⋮ Since $0 v^3$ is 0, it can be omitted: $-18 v^2 + 12 v$. ‖ ‖ step 7 ⋮ Write the polynomial in standard form: $-18 v^2 + 12 v$. ‖ ∻Answer∻ ⚹ $-18 v^2 + 12 v$ ⚹ ∻Key Concept∻ ⚹Subtracting Polynomials⚹ ∻Explanation∻ ⚹To subtract polynomials, we combine like terms and simplify. The terms $-5 v^3$ and $5 v^3$ cancel each other out, leaving us with the simplified polynomial $-18 v^2 + 12 v$ in standard form.⚹◊What is the result of subtracting the two polynomials $( -5v^3 - 9v^2 + 6v ) - ( -5v^3 + 9v^2 - 6v )$ in standard form?⍭ Generate me a similar question◊

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