How do you simplify ${(3 x + 2 y)}^{2}$ $(3x+2y)^2$ ?

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Answer 1 · 2015-02-04T14:43:51

Easy lets use the algorithm / identity ${(a + b)}^{2} = a^{2} + b^{2} + 2 a b$ $(a+b)^2 = a^2 + b^2 + 2ab$

So lets identify our terms

$a = 3 x$ $a= 3x$
$b = 2 y$ $b =2y$

So

$therefore (3x+2y)^2= (3x)^2 + (2y)^2 + 2(3x)(2y)$
$=9x^ + 4y^2+ 12xy$

How do you simplify (3x+2y)^2(3x+2y)2(3x+2y)^2?