Question

8x³+ y³+27z³- 18 хy z.​

Answer 1

Answer:

= (2x+y+3z)(4x²+y²+9z²-2xy-3yz-6zx)

Step-by-step explanation:

Using identity:

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

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Answer 2

Answer:

Solution :-

➜ 8x³ + y³ + 27z³ - 18xyz

➞ (2x)³ + (y)³ + (3z)³ - 3 × 2x × y × 3z

➞ (2x + y + 3z) {(2x)² + (y)² + (3z)² - 2x × y - y × 3z - 3z × 2x}

➞ (2x + y + 3z) (4x² + y² + 9z² - 2xy - 3yz - 6xz)

∴ The answer of this question is

(2x + y + 3z) (4x² + y² + 9z² - 2xy - 3yz - 6xz)

Formula used :-

➜ a³ + b³ + c³ - 3abc

➞ (a + b + c) (a² + b² + c² - ab - bc - ca)