Question

rewrite without parentheses.
$-9w x^{4}(6w^{6} + 7w^{5}x^{2} - 8x^{2})$
simplify your answer as much as possible.

Explanation:

Step1: Distribute \(-9w^4x\)

Multiply \(-9w^4x\) with each term inside the parentheses:

• For \(6w^6\): \(-9w^4x \cdot 6w^6 = -54w^{4 + 6}x = -54w^{10}x\)
• For \(7w^5x^2\): \(-9w^4x \cdot 7w^5x^2 = -63w^{4 + 5}x^{1 + 2} = -63w^9x^3\)
• For \(-8x^2\): \(-9w^4x \cdot (-8x^2) = 72w^4x^{1 + 2} = 72w^4x^3\)

Step2: Combine terms (if possible)

There are no like terms to combine further, so we present the simplified expression.

Answer:

\(-54w^{10}x - 63w^9x^3 + 72w^4x^3\)