Question

Factorise :- x³+216y³+8z³ -36xyz

Answer 1

Hey !!!!

x³ + 216y³ + 8z³ - 36xyz

x³ + (6y)³ + (2z)³ - 3x×y×z

we know a formula on that equation ..

x³+ y³ + z³ - 3xyz = (x + y + z) (x² + y² + z² - xy - yz - xz )

now .. just put the value like that .

(x + 6y + 2z) {x² + (6y)² + (2z)² - x×6y - 6y×2z - x×2z

=> (x + 6y + 2z ) (x² + 36y² + 4z² - 6xy - 12yz - 2xz ) here factorise ✔

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Hope it helps you !!!

@Rajukumar111