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

Answer 1

First, we need to simplify the expression:

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

First, factor out the common factor from the denominator:

4(x + 2)(3x^2 + 8x + 4)

Now multiply the numerator by the denominator:

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

Now expand the terms in the numerator:

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

Therefore, the final answer is:

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