Question 119634


{{{(4x-3y)(x-2y)}}} Start with the given expression




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



{{{(highlight(4x)-3y)(highlight(x)-2y)}}} Multiply the First terms:{{{(4x)*(x)=4x^2}}}



{{{(highlight(4x)-3y)(x+highlight(-2y))}}} Multiply the Outer terms:{{{(4x)*(-2y)=-8xy}}}



{{{(4x+highlight(-3y))(highlight(x)-2y)}}} Multiply the Inner terms:{{{(-3y)*(x)=-3yx}}}



{{{(4x+highlight(-3y))(x+highlight(-2y))}}} Multiply the Last terms:{{{(-3y)*(-2y)=6y^2}}}



{{{4x^2-8xy-3yx+6y^2}}} Now collect every term to make a single expression




{{{4x^2-11xy+6y^2}}} Now combine like terms



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Answer:

So {{{(4x-3y)(x-2y)}}} foils and simplifies to  {{{4x^2-11xy+6y^2}}}


In other words, {{{(4x-3y)(x-2y)=4x^2-11xy+6y^2}}}