Question

expand (a+4) square​

Answer 1

A square +2(a) (4) +4 square

Answer 2

$\huge {\boxed{\mathbb {QUESTION}}}$

$Expand$

${(a+4)}^{2}$

$\huge {\boxed{\mathbb {ANSWER}}}$

${(a+4)}^{2}$

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

$a=a\\b=4$

$Substitute\: the\: values$

$\implies{(a+4)}^{2}={a}^{2}+2(a)(4)+{(4)}^{2}$

$\implies{\boxed {\boxed {{a}^{2}+8a+16}}}$

$By\:factorisation$

$\implies {a}^{2}+4a+4a+16=0$

$\implies a(a+4)+4(a+4)=0$

$\implies (a+4)(a+4)=0$

$\implies a+4=0\:or\:a+4=0$

$\implies a=-4\:or\:a=-4$

$\therefore \implies {\boxed {\boxed {a=-4}}}$

$\huge {\boxed{\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$FORMULAS$

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

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

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

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