Question 182072

{{{(5y+5u-6)(5y+3u-5)}}} Start with the given expression.



{{{5y(5y+3u-5)+5u(5y+3u-5)-6(5y+3u-5)}}} Expand.



{{{(5y)(5y)+(5y)(3u)+(5y)(-5)+(5u)(5y)+(5u)(3u)+(5u)(-5)+(-6)(5y)+(-6)(3u)+(-6)(-5)}}} Distribute.



{{{25y^2+15yu-25y+25yu+15u^2-25u-30y-18u+30}}} Multiply.



{{{25y^2+40yu-55y+15u^2-43u+30}}} Now combine like terms.



 So {{{(5y+5u-6)(5y+3u-5)}}} expands to {{{25y^2+40yu-55y+15u^2-43u+30}}}.



In other words, {{{(5y+5u-6)(5y+3u-5)=25y^2+40yu-55y+15u^2-43u+30}}}.