If a^2 + b^2 = 8 and ab = 3, find the value of 3(a + b) ^2 – 2(a – b)^2

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If a^2 + b^2 = 8 and ab = 3, find the value of 3(a + b) ^2 – 2(a – b)^2

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Melanie 3 weeks 2021-10-05T07:03:33+00:00 1 Answer 0 views 0

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    2021-10-05T07:04:45+00:00

    Here is your answer -Given – a²+b²= 8ab = 33(a+b)²- 2(a-b)² = ?We know that -(a+b)² = a²+b²+2abSo putting the value of a+ b and ab in the given equation (a + b) ² = a²+b²+2ab 8 + 2×3 8 + 6 14Now , (a – b)²= a²+ b²-2ab = 8 – 2 × 3 = 8 – 6 = 2Now 3(a+b)²- 2(a-b)² = 3 × 14 – 2 × 2 = 42 – 4 = 38

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