Question

Pls tell step by step

Answer 1

Answer:

$( \sqrt{2} a + 2b - 3c)(2 {a}^{2} + 4 {b}^{2} + 9 {c}^{2} - 2 \sqrt{2} ab -6bc - 3 \sqrt{2} ac)$

Step-by-step explanation:

$2 \sqrt{2} {a}^{3} + 8 {b}^{3} - 27 {c}^{3} + 18 \sqrt{2}abc \\ \\ = {( \sqrt{2} a)}^{3} + {(2b)}^{3} + {( - 3c)}^{3} - 3( \sqrt{2} a)(2b)( - 3c) \\ \\ = ( \sqrt{2} a + 2b - 3c)(2 {a}^{2} + 4 {b}^{2} + 9 {c}^{2} - 2 \sqrt{2} ab -6bc - 3 \sqrt{2} ac)$