How do you multiply #\frac { 5y ^ { 2} } { 5y ^ { 2} + 30y - 35} \cdot \frac { 2y ^ { 3} + 30y ^ { 2} + 112y } { 8y + 44}#?

1 Answer

#(y^4+8y^3)/(4y^2+18y-22)#

Explanation:

#(5y^2)/(5y^2+30y-35)*(2y^3+30y^2+112y)/(8y+44)#

#(cancel5y^2)/(cancel5(y^2+6y-7))*(cancel2((y^3+15y^2+56y)))/(cancel2(4y+22)#

#(y^2)/(y^2+6y-7)*(y^3+15y^2+56y)/(4y+22)#

#(y^2)/((y-1)(cancel(y+7)))*((y)(cancel(y+7))(y+8))/(4y+22)#

#((y^2)(y)(y+8))/((y-1)(4y+22))#

#(y^3(y+8))/((y-1)(4y+22))#

#(y^4+8y^3)/(4y^2+18y-22)#