Simplify: ${(a - b)}^{2} + 4 a b$

$a^{2} + b^{2}$

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${(a + b)}^{2}$

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$a^{2} - b^{2}$

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$a^{2} - b^{2} + 4 a b$

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Solution

The correct option is B
${(a + b)}^{2}$

${(a - b)}^{2} = a^{2} - 2 a b + b^{2}$
${(a - b)}^{2} + 4 a b = a^{2} - 2 a b + b^{2} + 4 a b$
= $a^{2} + 2 a b + b^{2}$
= ${(a + b)}^{2}$

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