Question

FACTORISE
<br />$2 \sqrt{2a} {}^{3} + 8b {}^{3} - 27c {}^{3} + 18 \sqrt{2} [abc]$
It's urgent plsss!!!

Answer 1

2√2a³+8b³-27c³+18√2abc
=>(√2a)³+(2b)³+(-3c)³-3(√2a)(2b)(-3c)
=>(√2a+2b-3c)(2a²+4b²+9c²-2√2ab+6bc+3√2ca)

Answer 2

Answer:

(√2a + 2b - 3c)[2a² + 4b² + 9c² - 2√2ab + 6bc + 3√2ac]

Step-by-step explanation:

Given Equation is 2√2a³ + 8b³ - 27c³ + 18√2abc

= (√2a)³ + (2b)³ + (-3c)³ - 3(√2a)(2b)(-3c)

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

= (√2a + 2b - 3c)[(√2a)² + (2b)² + (-3c)² - (√2a)(2b) - (2b)(-3c) - (√2a)(-3c)]

= (√2a + 2b - 3c)[2a² + 4b² + 9c² - 2√2ab + 6bc + 3√2ac].

Hope it helps!