Question 143661


{{{(3x+5)^2}}} Start with the given expression



{{{(3x+5)(3x+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(3x)+5)(highlight(3x)+5)}}} Multiply the First terms:{{{(3x)*(3x)=9x^2}}}



{{{(highlight(3x)+5)(3x+highlight(5))}}} Multiply the Outer terms:{{{(3x)*(5)=15x}}}



{{{(3x+highlight(5))(highlight(3x)+5)}}} Multiply the Inner terms:{{{(5)*(3x)=15x}}}



{{{(3x+highlight(5))(3x+highlight(5))}}} Multiply the Last terms:{{{(5)*(5)=25}}}



{{{9x^2+15x+15x+25}}} Now collect every term to make a single expression




{{{9x^2+30x+25}}} Now combine like terms



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Answer:

So {{{(3x+5)^2}}} foils and simplifies to  {{{9x^2+30x+25}}}


In other words, {{{(3x+5)^2=9x^2+30x+25}}}