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Simplify each : (4x+2y)^3+\ (4x-2y)^3...

Simplify each : `(4x+2y)^3+\ (4x-2y)^3`

Text Solution

Verified by Experts

As we know that
`(a+b)^3=a^3+b^3 +3a^2b+3ab^2`
And also
`(a−b)^3=a^3-b^3-3a^2b+3ab^2`
`(4x+2y)^3+\ (4x-2y)^3=(4x)^3+(2y)^3+3\(4x)^2\(2y)+3\(4x)\(2y)^2 +(4x)^3-(2x)^3-3\(4x)^2\(2y)+3\(4x)\(2y)^2`
`=2((4x)^3+3\(4x)\(2y)^2)`
`=2(64x^3+48xy^2)`
`=128x^3+96xy^2`
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