Verified Answer :

Neuron

If you would like to solve (125 - 8x^3) / (25 + 10x + 4x^2), you can do this using the following steps:

(125 - 8x^3) / (25 + 10x + 4x^2) = - ((2x - 5) * (4x^2 + 10x + 25)) / (4x^2 + 10x + 25) = - (2x - 5) = - 2x + 5

The correct result would be - 2x + 5.

carlosego

For this case we have the following expression:

\(\frac{125-8x^3}{25+10x+4x^2}\)

Factoring the numerator we have:

\(\frac{-(2x+5)(4x^2+10x+25)}{25+10x+4x^2}\)

Rewriting the denominator we have:

\(\frac{-(2x+5)(4x^2+10x+25)}{4x^2+10x+25}\)

Canceling similar terms we have:

\(-(2x+5)\)

\(-2x-5\)

Answer:

The quotient of the division is given by:

\(-2x-5\)