Question

if a/b=4/3 then a²-b²/a²+b²

Answer 1

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The answer is 7/25

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Step-by-step explanation:

$\frac{a}{b} = \frac{4}{3} \\ \\ \frac{a²-b²}{a²+b²} \\ \\ \frac{ {b}^{2} \times (\frac{ {a}^{2} }{ {b}^{2} } - 1)}{ {b}^{2} \times (\frac{ {a}^{2} }{ {b}^{2} } + 1) } \\ \\ \frac{ {( \frac{a}{b} )}^{2} - 1 } { {( \frac{a}{b} )}^{2} + 1 } \\ \\ \frac{ { (\frac{4}{3} )}^{2} - 1 }{ { (\frac{4}{3} )}^{2} + 1} \\ \\ \frac{ \frac{16}{9} - 1}{ \frac{16}{9} + 1 } \\ \\ \frac{ \frac{16 - 9}{9} }{ \frac{16 + 9}{9} } \\ \\ \frac{ \frac{7}{9} }{ \frac{25}{9} } \\ \\ \frac{7}{9} \times \frac{9}{25} = \frac{7}{25}$

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