Question

Pleae help me simplify this algebraic fraction
(not showing up right equation in box below)

Answer 1

\[\frac{b^2-3b-10}{ (b-2)^2 }*\frac{ b-2 }{ b-5}\] is the algebraic fraction

Answer 2

Do they tell you what b is or do we have to find it?

Answer 3

I dont have to solve only simplify

Answer 4

first factor the trinomial
b^2 - 3b - 10
can you do that?

Answer 5

you need to numbers whose product is -10 and whose sum = -3
and they will be of the form

(x + a)(x - b)

Answer 6

(b+2)(b-5)

Answer 7

right
now you can simplify

Answer 8

Thanks

Answer 9

not that (b-5) and (b-2) are common factors in top and bottom of the fractions

Answer 10

Yep I canceled out and got \[\frac{ b+2 }{ b-2 }\]