a+b(a-b)³ and (a+b)³(a-b) find mean proportion
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Find the mean proportional between (a+b)(a−b)3 and (a+b)3(a−b).Here is the answer.Let x be the mean proportional between (a+b)(a−b)3 and (a+b)3(a−b).Now, (a+b)(a−b)3 : x = x :(a+b)3(a−b)⇒(a+b)(a−b)3x = x(a+b)3(a−b)⇒x2 = (a+b)4(a−b)4⇒x = (a+b)2(a−b)2⇒x = (a2−b2)2
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Answer:
x= (a+b)^2 × (a-b)^2
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