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Factorise:8(x+y)³+27(x-y) ³ |
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Answer» Step-by-step EXPLANATION: ANSWER 8(X+y) 3 −27(x−y) 3
=[2(x+y)] 3 −[3(x−y)] 3
=[2(x+y)−3(x−y)][(2(x+y)) 2 +2(x+y)×3(x−y)+(3(x−y)) 2 ] =(2x+2y−3x+3y)[4(x 2 +2xy+y 2 )+6(x 2 −y 2 )+9(x 2 −2xy+y 2 )] =(−x+5y)(4X 2 +8xy+4y 2 +6X 2 −6y 2 +9x 2 −18xy+9y 2 ) =(−x+5y)(19x 2 −10xy+7y 2 ) |
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