Question

Perform the indicated operation and simplify the result.

Answer 1

`(b^(2)-3b-10 )/((b-2)^(2) )`·
`(b-2)/(b-5)`=

`((b-5)(b+2))/((b-2)^(2) )`·
`(b-2)/(b-5)`=

`((b+2))/((b-2) )`·
`(1)/(1)`= (semplify)

result =
`((b+2))/((b-2) )`

Answer 2

Answer : The result is,
`((b+2))/((b-2))`

Explanation:

The given expression is:

`(b^2-3b-10)/((b-2)^2)* ((b-2))/((b-5))`

First we have to make factors by middle term splitting method.

`(b^2-5b+2b-10)/((b-2)^2)* ((b-2))/((b-5))`

Now we are taking common.

`(b(b-5)+2(b-5))/((b-2)^2)* ((b-2))/((b-5))`

`((b-5)(b+2))/((b-2)^2)* ((b-2))/((b-5))`

By cancelling the terms, we get:

`((b+2))/((b-2))* (1)/(1)`

`((b+2))/((b-2))`

Thus, the result is,
`((b+2))/((b-2))`