Question

(2x-y)^3-(x+y)^3+(2y-x)^3​

Answer 1

(2x-y)3-(x+y)3+(2y-x) 3. Step 1 : 1.1 Evaluate : (2y-x)3 = 8y3-12xy2+6x2y-x3. Step 2 : Pulling out like terms : 2.1 Pull out like factors : 6x3 - 9x2y - 9xy2 + 6y3 = 3 • (2x3 - 3x2y - 3xy2 + 2y3) Checking for a perfect cube : 2.2 2x3 - 3x2y - 3xy2 + 2y3 is not a perfect cube.

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