Question 118525

{{{(5-8y)^2}}} Start with the given expression



{{{(5-8y)(5-8y)}}} Expand. Remember something like {{{x^2=x*x}}}




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



{{{(highlight(5)-8y)(highlight(5)-8y)}}} Multiply the First terms:{{{(5)*(5)=25}}}



{{{(highlight(5)-8y)(5+highlight(-8y))}}} Multiply the Outer terms:{{{(5)*(-8y)=-40y}}}



{{{(5+highlight(-8y))(highlight(5)-8y)}}} Multiply the Inner terms:{{{(-8y)*(5)=-40y}}}



{{{(5+highlight(-8y))(5+highlight(-8y))}}} Multiply the Last terms:{{{(-8y)*(-8y)=64y^2}}}



{{{25-40y-40y+64y^2}}} Now collect every term to make a single expression




{{{-80y+64y^2+25}}} Now combine like terms



{{{64y^2-80y+25}}} Sort the terms



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Answer:

So {{{(5-8y)(5-8y)}}} foils and simplifies to  {{{64y^2-80y+25}}}


In other words, {{{(5-8y)(5-8y)=64y^2-80y+25}}}