Question 148774


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



{{{(3x+2y)(3x+2y)}}} 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)+2y)(highlight(3x)+2y)}}} Multiply the <font color="red">F</font>irst terms:{{{(3x)*(3x)=9x^2}}}



{{{(highlight(3x)+2y)(3x+highlight(2y))}}} Multiply the <font color="red">O</font>uter terms:{{{(3x)*(2y)=6xy}}}



{{{(3x+highlight(2y))(highlight(3x)+2y)}}} Multiply the <font color="red">I</font>nner terms:{{{(2y)*(3x)=6yx}}}



{{{(3x+highlight(2y))(3x+highlight(2y))}}} Multiply the <font color="red">L</font>ast terms:{{{(2y)*(2y)=4y^2}}}



{{{9x^2+6xy+6yx+4y^2}}} Now collect every term to make a single expression




{{{9x^2+12xy+4y^2}}} Now combine like terms



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Answer:

So {{{(3x+2y)(3x+2y)}}} foils and simplifies to  {{{9x^2+12xy+4y^2}}}


In other words, {{{(3x+2y)(3x+2y)=9x^2+12xy+4y^2}}}