Question

Factorise :- (x-y)³-z³​

Answer 1

Answer:

On factorisation we get,

(x-y-z)(x²+y²+z²+2xy+xz-yz)

Step-by-step explanation:

Concepts needed-

a³-b³=(a-b)(a²+b²+ab)

(a-b)²=a²+b²-2ab

Factorising-

(x-y)³-z³

={(x-y)-(z)}{(x-y)²+(z)²+(x-y)(z)}

={x-y-z}{x²+y²-2xy+z²+xz-yz}

=(x-y-z)(x²+y²+z²+2xy+xz-yz)

Final answer-

(x-y-z)(x²+y²+z²+2xy+xz-yz)

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