How do you expand ${(4 x + 3 y)}^{2}$ $(4x+3y)^2$ ?

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How do you expand ${(4 x + 3 y)}^{2}$ $(4x+3y)^2$ ?

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Answer 1 · 2016-12-06T17:49:58

$16 x^{2} + 24 x y + 9 y^{2}$ $16x^2+24xy+9y^2$

Explanation:

using formula ${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$ $(a+b)^2=a^2+2ab+b^2$
Therefore
${(4 x + 3 y)}^{2} = {(4 x)}^{2} + 2 (4 x) (3 y) + {(3 y)}^{2}$ $(4x+3y)^2=(4x)^2+2(4x)(3y)+(3y)^2$
$16 x^{2} + 24 x y + 9 y^{2}$ $16x^2+24xy+9y^2$

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How do you expand ${(4 x + 3 y)}^{2}$ $(4x+3y)^2$ ?

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How do you expand ${(4 x + 3 y)}^{2}$ $(4x+3y)^2$ ?