Question 182079


{{{(7w+5)^2}}} Start with the given expression.



{{{(7w+5)(7w+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(7w)+5)(highlight(7w)+5)}}} Multiply the <font color="red">F</font>irst terms:{{{(7*w)*(7*w)=49*w^2}}}.



{{{(highlight(7w)+5)(7w+highlight(5))}}} Multiply the <font color="red">O</font>uter terms:{{{(7*w)*(5)=35*w}}}.



{{{(7w+highlight(5))(highlight(7w)+5)}}} Multiply the <font color="red">I</font>nner terms:{{{(5)*(7*w)=35*w}}}.



{{{(7w+highlight(5))(7w+highlight(5))}}} Multiply the <font color="red">L</font>ast terms:{{{(5)*(5)=25}}}.



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{{{49*w^2+35*w+35*w+25}}} Now collect every term to make a single expression.



{{{49*w^2+70*w+25}}} Now combine like terms.



So {{{(7w+5)^2}}} FOILs to {{{49*w^2+70*w+25}}}.



In other words, {{{(7w+5)^2=49*w^2+70*w+25}}}.