Question

reduce this algebraic fraction b^2-3b-10/(b-2)^2*b-2/b-5

Answer 1

well factor the numerator in the 1st fraction

\[\frac{(b - 5)(b + 2)}{(b - 2)(b - 2)} \times \frac{(b - 2)}{(b - 5)}\]

cancel the common factors

Answer 2

of if you like its

\[\frac{(b - 5)\times(b - 2)\times(b + 2)}{(b - 5) \times (b - 2)\times (b - 2)}\]

and cancel the common factors for the answer

Answer 3

I'm so lost :c

Answer 4

ok... so common factors are things that are in both the numerator and denominator...


what appears factors (b - 2) is a factor...

so what factors are in the denominator and numerator, that are the same..?

Answer 5

b-2 and b-5?

Answer 6

great so remove 1 of each from the numerator and denominator what's left..?

Answer 7

b+2/b-2?

Answer 8

that's the answer

Answer 9

Dude, you're a life saver! Thank you so much!

Answer 10

glad to help