Question

rewrite without parentheses.
$-7x^{4}(7x^{3}-2x^{2}+6x)$
simplify your answer as much as possible.

Explanation:

Step1: Distribute \(-7x^4\) to \(7x^3\)

Using the distributive property \(a(b)=ab\), we have \(-7x^4 \cdot 7x^3 = -49x^{4 + 3} = -49x^7\)

Step2: Distribute \(-7x^4\) to \(-2x^2\)

Using the distributive property \(a(b)=ab\), we get \(-7x^4 \cdot (-2x^2) = 14x^{4 + 2} = 14x^6\)

Step3: Distribute \(-7x^4\) to \(6x\)

Using the distributive property \(a(b)=ab\), we obtain \(-7x^4 \cdot 6x = -42x^{4 + 1} = -42x^5\)

Step4: Combine the terms

Putting it all together, we have \(-49x^7 + 14x^6 - 42x^5\)

Answer:

\(-49x^7 + 14x^6 - 42x^5\)