Question

Factorise: (x+1)^3 - (x-1)^3

Answer 1

Hey dear!


Here is yr 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

(x+1-x+1)[(x+1)^2+(x-1)^2+(x+1)(x-1)
2[(x^2+1+2x)+(x^2+1-2x)+x^2-1
2[x^2+1+2x+x^2+1-2x+x^2-1]
2(3x^2+1)
6x^2+2
is your answer