Question

Simplify completely quantity 5 x squared minus 21 x minus 20 all over quantity 5 x squared minus 16 x minus 16.

Answer 1

(5x^2-21x-20)/(5x^2-16x-16)
((x-5)(5x+4))/((x-4)(5x+4))
(x-5)/(x-4)

Answer 2

Answer: Simplified form will be

`((x-5))/((x-4))`

Step-by-step explanation:

Since we have given that

`(5x^2-21x-20)/(5x^2-16x-16)`

We need to simplify the expression, we get,

`(5x^2-25x+4x-20)/(5x^2-20x+4x-16)\\\\\text{We will split the middle terms}\\\\=(5x(x-5)+4(x-5))/(5x(x-4)+4(x-4))\\\\=((5x+4)(x-4))/((5x+4)(x-4))\\\\\text{ Cancel the common terms}\\\\=((x-5))/((x-4))`

Hence, simplified form will be

`((x-5))/((x-4))`