Question 147740


{{{(x-4y)(5x-9y)}}} Start with the given expression.



Now let's FOIL the expression.



Remember, when you FOIL an expression, you follow this procedure:



{{{(highlight(x)-4y)(highlight(5x)-9y)}}} Multiply the <font color="red">F</font>irst terms:{{{(x)*(5*x)=5*x^2}}}.



{{{(highlight(x)-4y)(5x+highlight(-9y))}}} Multiply the <font color="red">O</font>uter terms:{{{(x)*(-9*y)=-9*x*y}}}.



{{{(x+highlight(-4y))(highlight(5x)-9y)}}} Multiply the <font color="red">I</font>nner terms:{{{(-4*y)*(5*x)=-20*x*y}}}.



{{{(x+highlight(-4y))(5x+highlight(-9y))}}} Multiply the <font color="red">L</font>ast terms:{{{(-4*y)*(-9*y)=36*y^2}}}.



{{{5*x^2-9*x*y-20*x*y+36*y^2}}} Now collect every term to make a single expression.



{{{5*x^2-29*x*y+36*y^2}}} Now combine like terms.



So {{{(x-4y)(5x-9y)}}} FOILS to {{{5*x^2-29*x*y+36*y^2}}}.



In other words, {{{(x-4y)(5x-9y)=5*x^2-29*x*y+36*y^2}}}.