Question
\((3x+8y)^2 + (3x-8y)^2\) is equal to:
This question was previously asked in
CTET 2022 Paper 2 Maths Question Paper (Jan-27-2023) (Eng-Hin-Skt)
The correct answer is
\(18x^2+128y^2\)
Using the identity \((a+b)^2 + (a-b)^2 = 2a^2 + 2b^2\) with \(a = 3x\) and \(b = 8y\).
This gives \(2(3x)^2 + 2(8y)^2 = 2(9x^2) + 2(64y^2)\).
Simplifying, \(18x^2 + 128y^2\).
Hence, \((3x+8y)^2 + (3x-8y)^2\) is equal to \(18x^2 + 128y^2\).
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