Question

Math

Posted 3 months ago

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

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Answer from Sia

Posted 3 months ago

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.

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