How do you multiply and simplify #\frac { 49x ^ { 3} } { 4x ^ { 2} - 64} \cdot \frac { 2x ^ { 2} + 8x } { 35x ^ { 2} }#?

1 Answer
Mar 13, 2017

#(7x^2)/(5x-10)#

Explanation:

#(49x^3)/((2x-8)(2x+8))*(x(2x+8))/(35x^2)#

#(49x^3)/((2x-8)cancel((2x+8)))*(x cancel((2x+8)))/(35x^2)#

#(49x^4)/((2x-8)*35x^2)#

#(49cancel(x^4))/((2x-8)*35cancel(x^2))#

#(49x^2)/(35(2x-8))#

#(cancel(49)x^2)/(cancel(35)(2x-8))#

#(7x^2)/(5(x-2))#

#(7x^2)/(5x-10)#