Question

Simplify. (2x+y)^3 +(2x-y)^3​

Answer 1

`{(2x + y)}^(3) + {(2x - y)}^(3) \\ \\{(2x + y)}^(2)(2x + y)\: + (2x - y)^(2)(2x - y) \\ \\ (4 {x}^(2) + 4xy + {y}^(2) )(2x + y) + (4 {x}^(2) - 4xy + {y}^(2) )(2x - y) \\ \\ (8 {x}^(3) + 12 {x}^(2) y + 6x {y}^(2) + {y}^(3) ) + (8 {x}^(3) - 12 {x}^(2) y + 6x {y}^(2) - {y}^(3) ) \\ \\ = 16 {x}^(3) + 12x {y}^(2)`

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