Question

How do you multiply `\frac { x ^ { 2} + 4x - 45} { x ^ { 2} + 3x - 40} \cdot \frac { 4x + 32} { x + 2}`?

Answer 1

`(4x+36)/(x+2)`

Explanation:

`(x^2+4x+45)/(x^2+3x-40)*(4x+32)/(x+2)`

=`[(x-5)(x+9)]/[(x-5)(x+8)]*(4x+32)/(x+2)`

=`(x+9)/(x+8)*(4(x+8))/(x+2)`

=`(4(x+9))/(x+2)`

=`(4x+36)/(x+2)`