Question

$(4p {}^{2} - 16) \div 4p(p - 2)$
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Answer 1

Question :-

$\implies \: \sf \frac{4 {p}^{2} - 16}{4p(p - 2)}$

Answer :-

$\implies \: \boxed{\sf{\frac{p + 2}{p} } \: } \: or \: \boxed{\sf{ 1 + \frac{2}{p} }} \:$

Formula used :-

$\star \: \: \sf{ {x}^{2} - {y}^{2} = (x + y)(x - y)}$

Explanation :-

We have

$\implies \: \sf \frac{4 {p}^{2} - 16}{4p(p - 2)} \\ \: \\ \bf{we \: can \: write \: it} \\ \\ \implies \sf \frac{4( {p}^{2} - 4) }{4p(p - 2)} \\ \\ \implies \sf \frac{ {p}^{2} - {2}^{2} }{p(p - 2)} \\ \\ \implies \: \sf{ \frac{( p- 2) (p+ 2)}{p(p - 2)} } \\ \\ \implies \sf{\frac{p + 2}{p} } \\ \\ \tt{ or} \\ \\ \implies \: \sf{\frac{p}{p} + \frac{2}{p} } \\ \\ \implies \boxed{\sf{ 1 + \frac{2}{p} }}$

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