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F.3Maths (Factorization)

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If a^2+b^2=39 and ab=18 Find the value of a^4-2a^2b^2=b^4 Please give the complete step

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If a^2+b^2=39 and ab=18 Find the value of a^4-2a^2b^2+b^4 <==corrected a^4-2a^2b^2+b^4 = a^4 + 2a^2 b^2 + b^4 - 4a^2 b^2 = (a^2 + b^2)^2 - 4(ab)^2 = 39^2 - 4(18)^2 = 39^2 - (36)^2 = (39-36)(39+36) = 3(75) = 225

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