Question

$(x + 6) {}^{2}$
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Answer 1

Answer:

${x}^{2} + 12x + 36$

Step-by-step explanation:

${(x + 6)}^{2}$

${x}^{2} + 2(x)(6) + {6}^{2}$

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

${x}^{2} + 12x + 36$

{Hope it helped you...}

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Answer 2

Using formula

$(x + y) {}^{2} = x^2 + y^2 + 2xy$

________________

$\large\implies\red{(x + 6)^2}$

$\large\implies\blue{(x)^2 + (6)^2 + 2(x)(6)}$

$\large\implies\green{x^2 + 36 + 12x }$

$\large\implies\pink{x^2 + 12x + 36}$

$\large\implies\purple{x^2 + 6x + 6x + 36}$

$\large\implies\red{x(x + 6) + 6(x + 6)}$

$\large\implies\blue{(x + 6) (x + 6)}$

$\large\implies\green{x = -6}$