.please solve it say step by step explanation
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Step-by-step explanation:
3a - 5b / 3a + 5b
//divide numerator and denominator by 'ab'
= 3a-5b/ab / 3a+5b/ab
= 3/b - 5/a / 3/b+5/a
But a/b = c/d --> 1/b = c/ad; 1/a = d/bc.
=> 3c/ad - 5d/bc / 3c/ad + 5d/bc
= 3bc² - 5ad² / 3bc² + 5ad²
//a/b = c/d => bc = ad ...replace 'bc' with 'ad' in the above equation
= 3c(ad) - 5d(ad) / 3c(ad)+5d(ad)
= ad(3c-5d)/ad(3c+5d)
= 3c-5d/3c+5d
= R.H.S
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