Question

How do you simplify `\frac { x ^ { 2} } { 2x + 16} \cdot \frac { 5x + 40} { 5x ^ { 9} }`?

Answer 1

`1/(2x^7)`

Explanation:

`x^2/(2x+16)*(5x+40)/(5x^9)=(x^2(5x+40))/(5x^9(2x+16))`

`=(5x+40)/(5x^7(2x+16))`

`=(x+8)/(x^7(2x+16))`

`=(x+8)/(2x^8+16x^7)`

`=(x+8)/(2x^7(x+8))`

`=1/(2x^7)`