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QUESTION IMAGE

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

Question

expand.
your answer should be a polynomial in standard form.

$-5k^2(k^2 - 4k) = \square$

Explanation:

Step1: Apply distributive property

Multiply \(-5k^2\) with each term inside the parentheses.
\(-5k^2 \times k^2 + (-5k^2) \times (-4k)\)

Step2: Simplify each term

For the first term: \(-5k^2 \times k^2 = -5k^{2 + 2} = -5k^4\)
For the second term: \((-5k^2) \times (-4k) = 20k^{2 + 1} = 20k^3\)

Answer:

\(-5k^4 + 20k^3\)