27. Multiply; (-2x'y?)(x - y) yo
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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
]
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