Question

How do you multiply and simplify `\frac { a + 9} { a ^ { 2} + 2a - 63} \cdot \frac { a - 7} { 8}`?

Answer 1

`1/8`

Explanation:

factorise teh denominator

`(a+9)/(a^2+2a-63)*(a-7)/8`

`=(a+9)/((a+9)cancel((a-7)))*cancel((a-7))/8`

`=cancel(a+9)/cancel(a+9)*1/8`

`=1/8`