Question

(7+4 √3) (7-4 √3) simplfy the following
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Answer 1

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

$\tt Simplify \:the\:following$

$\sf (7+4\sqrt{3})(7-4\sqrt{3})$

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

$\sf\bf \implies \Big(7+4\sqrt{3}\Big)\Big(7-4\sqrt{3}\Big)$

${\underbrace {\overbrace {\color {orange} {\sf \bf Using \:Identity\; \Big(a+b\Big)\Big(a-b\Big) ={a}^{2}-{b}^{2}}}}}$

$\sf\bf \implies {\Big(7\Big)}^{2}-{\Big(4 \sqrt{3}\Big)}^{2}$

$\sf\bf \implies 49 - 16 \times 3$

$\sf\bf \implies 49-48$

$\implies{\boxed {\boxed {\color{blue} {\sf \bf 1}}}}$

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

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$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

${\color {green} {\tt Identities}}$

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

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

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

Answer 2

Answer:

UsingIdentity(a+b)(a−b)=a2−b2

⟹49−16×3

\sf\bf \implies 49-48⟹49−48

\implies{\boxed {\boxed {\color{blue} {\sf \bf 1}}}}⟹1

(a−b)2=a2−2ab+b2

\sf \bf (a+b) (a-b) ={a}^{2}-{b}^{2}(a+b)(a−b)=a2−b2