Math, asked by prabalalalaqqqqq, 7 months ago

Factorise : 27x^3+y^3+z^3-9xyz​

Answers

Answered by viswateja35
6

Step-by-step explanation:

27x³+y³+z³-9xyz

= (3x)³+(y)³+(z)³-3(3x)(y)(z)

[ identity 8 = x³+y³+z³-3xyz= (x+y+z)(x²+y²+z²-xy-yz-zx)]

=(3x+y+z)[(3x)²+(y)²+(z)²-(3x)(y)-(y)(z)-(z)(3x)]

=(3x+y+z)(9x²+y²+z²-3xy-yz-3xz)

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