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27(x + y)^3 + 8(2x - y)^3 |
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Answer» ONG>Answer: 27(X+y) 3 +8(2x−y) 3
Above terms can be written as, 3 3 (x+y) 3 +2 3 (2x−y) 3
(3(x+y)) 3 +(2(x−y)) 3
We know that,a 3 +b 3 =(a+b)(a 2 −ab+b 2 ) Where,a=3(x+y),b=2(x−y) =[3(x+y)+2(2x−y)][(3(x+y)) 3 −(3(x+y)×2(2x−y))+(2(2x−y)) 2 ] =[3x+3y+4x−2y][9(x+y) 2 −6(x+y)(2x−y)+4(2x−y) 2 ] =(7x−y)[9(x 2 +y 2 +2XY)−6(2x 2 −xy+2xy−y 2 )+4(4x 2 +y 2 −4xy)] =(7x−y)[9x 2 +9y 2 +18xy−12x 2 −6xy−6y 2 +16x 2 +4y 2 −16xy] =(7x−y)[13x 2 −4xy+19y 2 ] Step-by-step explanation: |
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