Question

Factorize : 27 (x +y)³ -8 (x-y)3​

Answer 1

Step-by-step explanation:

Answer:we know that x3+y3+z3-3xyz = (x+y+z)( x2+y2+z2-xy-yz-zx)

Now, (2x)3+ (-3y)3+( z)3-3(2x)(-3y)(z)

= (2x-3y+z) (4x2+9y2+z2+6xy+3yz-2xz) - Answer

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Answer 2

Answer:

27 (x +y)³ -8 (x-y)3​

(3(x+y))³-(2(x-y))³

Now using the Algebraic identity a³-b³=(a-b)(a²+ab+b²)

(3(x+y)-2(x-y)).(9(x+y)²+3(x+y).2(x-y) +4(x-y)²)

(3x+3y-2x+2y).(9(x²+2xy+y²) +6(x²-y²) +4(x²-2xy+y²))

(x+5y)(9x²+18xy+9y²+6x²-6y²+4x²-8xy+4y²)

(x+5y)(19x²+10xy+7y²)

Step-by-step explanation: