Question

X-5/4x+8 * (12x^2+32x+16)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression:

First, factor out the common factor from the first term:

= (x - 5)/(4x + 8) * (12x^2 + 32x + 16)
= (x - 5)/(4(x + 2)) * (12x^2 + 32x + 16)
= (x - 5)/(4(x + 2)) * 4(3x^2 + 8x + 4)

Then, simplify by canceling out the common factor of 4:

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

Therefore, the simplified expression is (x - 5)(3x^2 + 8x + 4)/(x + 2).