Question 118522


{{{(4x+5)^2}}} Start with the given expression



{{{(4x+5)(4x+5)}}} Expand. Remember something like {{{x^2=x*x}}}




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



{{{(highlight(4x)+5)(highlight(4x)+5)}}} Multiply the First terms:{{{(4x)*(4x)=16x^2}}}



{{{(highlight(4x)+5)(4x+highlight(5))}}} Multiply the Outer terms:{{{(4x)*(5)=20x}}}



{{{(4x+highlight(5))(highlight(4x)+5)}}} Multiply the Inner terms:{{{(5)*(4x)=20x}}}



{{{(4x+highlight(5))(4x+highlight(5))}}} Multiply the Last terms:{{{(5)*(5)=25}}}



{{{16x^2+20x+20x+25}}} Now collect every term to make a single expression




{{{16x^2+40x+25}}} Now combine like terms



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Answer:

So {{{(4x+5)^2}}} foils and simplifies to  {{{16x^2+40x+25}}}


In other words, {{{(4x+5)^2=16x^2+40x+25}}}