Question 134303


{{{(x+5)^2}}} Start with the given expression



{{{(x+5)(x+5)}}} Expand. Remember something like {{{x^2=x*x}}}



Now let's FOIL the expression




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



{{{(highlight(x)+5)(highlight(x)+5)}}} Multiply the First terms:{{{(x)*(x)=x^2}}}



{{{(highlight(x)+5)(x+highlight(5))}}} Multiply the Outer terms:{{{(x)*(5)=5x}}}



{{{(x+highlight(5))(highlight(x)+5)}}} Multiply the Inner terms:{{{(5)*(x)=5x}}}



{{{(x+highlight(5))(x+highlight(5))}}} Multiply the Last terms:{{{(5)*(5)=25}}}



{{{x^2+5x+5x+25}}} Now collect every term to make a single expression




{{{x^2+10x+25}}} Now combine like terms



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Answer:

So {{{(x+5)^2}}} foils and simplifies to  {{{x^2+10x+25}}}


In other words, {{{(x+5)^2=x^2+10x+25}}}