Question

FACTORISE
(x+y)^3 - (x-y)^3​

Answer 1

and this is your answer

Answer 2

Answer:

${(x + y)}^{3} - {(x - y)}^{3} \\ = {x}^{3} + 3x {y}^{2} + 3 {x}^{2} y + {y}^{3} - ( {x}^{3} + 3x {y}^{2} - 3 {x}^{2} y - {y}^{3} \\ = {x}^{2} + 3x {y}^{2} + 3 {x}^{2} y + {y}^{3} - {x}^{3} - 3x {y}^{2} + 3 {x}^{2} y + {y}^{3} \\ = 3 {x}^{2} y + {y}^{3} + {x}^{2} y + {y}^{3} \\ = 6 {x}^{2} y + 2 {y}^{3} \\ = 2y(3 {x}^{2} + {y}^{2} )$

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