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

Question

asked Feb 22, 2018 33.3k views

2 Answers

Rajeev Sreedharan · Answer 1 · 2018-02-27T06:57:08+0000

Answer: Simplified form will be

Step-by-step explanation:

Since we have given that

(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,

(2(x^2+10x+16))/(x^2-2x-80)

By using splitting the middle terms, we get

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

Hence, Simplified form will be