Question

Factorize The Following By Using A Suitable Identity: (c)2√2x³+3√3x³​

Answer 1

Answer:$=(\sqrt{2} x + \sqrt{3} x)(2x ^{2} -\sqrt{6}x^{2} +3x ^{2} )$

Step-by-step explanation:

$2\sqrt{2} x^{3} +3\sqrt{3} x^{3}$

$=\sqrt{2} ^{3} x^{3}+ \sqrt{3} ^{3} x^{3}$

$={(\sqrt{2}x) ^{3} +(\sqrt{3}x) ^{3}$

$=(\sqrt{2} x + \sqrt{3} x)((\sqrt{2}x) ^{2} -(\sqrt{2} x)(\sqrt{3} x)+(\sqrt{3}x) ^{2} )$  , $a^{3} + b^{3} = (a+b)(a^2-ab+b^2)$

$=(\sqrt{2} x + \sqrt{3} x)(2x ^{2} -\sqrt{6}x^{2} +3x ^{2} )$