Question

Simplify4x2 + 12x - 162x + 106x + 24x2 + 9x + 20(2 points).O X-13(x+4)O (x-1)(x+4)3O 3(x-1)X+4O3(x - 1)(x+4)

Answer 1

Given equation:

$\frac{\frac{4x^2+12x-16}{2x+10}}{\frac{6x+24}{x^2+9x+20}}$

let us now simplify,

$\begin{gathered} \frac{\frac{4x^2+12x-16}{2x+10}}{\frac{6x+24}{x^2+9x+20}} \\ =\frac{(4x^2+12x-16)(x^2+9x+20)}{(2x+10)(6x+24)} \\ =\frac{4(x^2+3x-4)(x^2+9x+20)}{12(x+5)(x+4)} \\ =\frac{\mleft(x^2+3x-4\mright)(x^2+9x+20)_{}}{3(x+5)(x+4)} \\ =\frac{(x+4)^2(x-1)(x+5)}{3(x+5)(x+4)} \\ =\frac{(x+4)(x-1)}{3} \end{gathered}$

the answer is option 2.