Question

Simplify completely quantity 2 x squared plus 20 x plus 32 all over x squared minus 2 x minus 80

Answer 1

Answer:  Simplified form will be

$\frac{2(x+2)}{(x-10}$

Explanation:

Since we have given that

$\frac{2x^2+20x+32}{x^2-2x-80}$

and we need to simplify it,

First we take 2 as common factor from the numerator,

So, it becomes,

$\frac{2(x^2+10x+16)}{x^2-2x-80}$

By using splitting the middle terms, we get

$\frac{2(x^2+8x+2x+16)}{x^2-10x+8x-80}\\\\=\frac{2[(x(x+8)+2(x+8)]}{x(x-10)+8(x-10)}\frac{2(x+8)(x+2)}{(x-10)(x+8)}\\\\=\frac{2(x+2)}{(x-10}$

Hence, Simplified form will be

$\frac{2(x+2)}{(x-10}$

Answer 2

The answer is 2(x+2)/x-10