Question

Using complete sentences, explain each step in simplifying the ratio and provide the simplified form. (x^2-x-20)/(x^2+8x+16)

Answer 1

let's treat each of the expressions below and above separately.

Answer 2

lets start with:
x^2+8x+16

Answer 3

do you know how to factor it ?

Answer 4

yeah. its (x+4)(x+4)

Answer 5

now for the top.
can you factor that one ?

Answer 6

yes(x+4)(x-5)

Answer 7

ok, now write the fraction - using the factored expressions

Answer 8

(x+4)(x-5)/(x+4)(x+4)

Answer 9

so we can cancel out an (x+4) from the top and from the bottom.

Answer 10

(x-5)/(x+4)

Answer 11

yep, you're done.

Answer 12

thanks you just saved my life.

Answer 13

glad to help :)