Question

subtract
(p-q/p+q)-(p+q/p-q)​

Answer 1

Answer:

1...................

Answer 2

Answer:

$( \frac{ p- q}{p + q} ) - ( \frac{p + q}{p - q} ) \\ \\ = \frac{(p - q) ^{2} - (p + q)^{2} }{(p + q )(p - q)} \\ \\ = \frac{ {p}^{2} - 2pq + {q}^{2} - ( {p}^{2} + 2pq + {q}^{2}) }{ {p}^{2} - {q}^{2} } \\ \\ = \frac{ {p}^{2} - 2pq + {q}^{2} - {p}^{2} - 2pq - {q}^{2} }{ {p}^{2} - {q}^{2} } \\ \\ = \frac{ - 4pq}{ {p}^{2} - {q}^{2} } \\ \\ ( + {p}^{2} \: and \: - {p}^{2} \: gets \: cancelled) \\ \\( + {q}^{2} \: and \: - {q}^{2} \: gets \: cancelled) \\ \\ formula \: used \\ \\ (a + b) ^{2} = a ^{2} - 2 ab + b ^{2} \\ \\ (a - b) ^{2} = a ^{2} - 2 ab + b ^{2} \\ \\ a ^{2} - b ^{2} = (a + b)(a - b)$

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