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

Question

campbell_st · Answer

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

campbell_st · Answer

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

anonymous · Answer

I'm so lost :c

campbell_st · Answer

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..?

anonymous · Answer

b-2 and b-5?

campbell_st · Answer

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

anonymous · Answer

b+2/b-2?

campbell_st · Answer

that's the answer

anonymous · Answer

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

campbell_st · Answer

glad to help