Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

expand. your answer should be a polynomial in standard form. $-5q^{2}(-…

Question

expand.
your answer should be a polynomial in standard form.
$-5q^{2}(-q - 5) = \boxed{}$

Explanation:

Step1: Use distributive property

Multiply \(-5q^2\) with each term inside the parentheses.
\(-5q^2 \times (-q) + (-5q^2) \times (-5)\)

Step2: Simplify each term

For the first term: \(-5q^2 \times (-q) = 5q^{2 + 1} = 5q^3\)
For the second term: \((-5q^2) \times (-5) = 25q^2\)

Step3: Combine the terms

Combine the simplified terms to get the polynomial in standard form.
\(5q^3 + 25q^2\)

Answer:

\(5q^3 + 25q^2\)