Question

Simplify by removing the factors of 1. 10y^2-40/25y^2-100 please show the steps

Answer 1

simplifying the numerator we get 10y^2-40=10(y^2-4)=10(y+2)(y-2)

Answer 2

simplifying the denominator we get 25y^2-100=25(y^2-4)=25(y+2)(y-2)

Answer 3

our new expression should look like this

10(y+2)(y-2)/25(y+2)(y-2)

Answer 4

so it is going to be (y+5)(y-5)

Answer 5

now we simply cancel (y+2)(y-2) since it is a coefficient on bothe the numerator and the denominator to get 10/25=2/5 as our answer.

Answer 6

so it is going to be in a fraction form

Answer 7

yes your answer should be a fraction