Question

How do you multiply and simplify `\frac { x ^ { 3} - 27} { 6x - 18} \cdot \frac { 36} { 2x ^ { 2} + 6x + 18}`?

Answer 1

`=3`

Explanation:

`(x^3-27)/(6x-18)times 36/(2x^2+6x+18)`

`=((x-3)(x^2+3x+9))/(6(x-3))times36/(2(x^2+3x+9))`

`=(cancel((x-3))cancel((x^2+3x+9)))/(6cancel((x-3)))times36/(2cancel((x^2+3x+9)))`

`=36/12`

`=3`