Question

factorize (x-1)^3+(y-1)^3​

Answer 1

Answer:  => (x+1)³ - (x-1)³

[ (a+b)³ = a³+3a²b+3ab²+b³ ]

[ (a-b)³ = a³-3a²b+3ab²-b³ ]

=> [ x³+3(x)²(1)+3(x)(1)²+(1)³ ] - [ x³-3(x)²(1)+3(x)(1)²-(1)³]

=> x³+3x²+3x+1 - x³+3x²-3x+1

=> 6x²+2

=> 2(3x²+1)

Hope it hlpz...

Answer 2

Answer:

(x-1)³+(y-1)³

=> {(x)³-(1)³-3x.1(x-1)}+{(y)³-(1)³-3.y.1(y-1)}

=> x³-1-3x²-3x+y³-1-3y²-3y

=> x³+y³-3x²-3y²-3x-3y-2✔️

Step-by-step explanation:

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