Question

factorize the 27x⁴-75y² by using the identities​

Answer 1

6+6+766776+++

6766++-78877

Answer 2

Step-by-step explanation:

${\small{\tt{27x^4 - 75y^2}}}$

${\small{\tt{ = (\sqrt{27}x^2)^2 - (\sqrt{75}y)^2 }}}$

${\small{\tt{ \bigg\lbrace \because a^2 - b^2 = (a+b)(a-b) \bigg\rbrace}}}$

${\small{\tt{= (\sqrt{27}x^2 + \sqrt{75}y) (\sqrt{27}x^2 - \sqrt{75}y)}}}$

${\large{\cal{\fcolorbox{pink}{pink}{\boxed{(\sqrt{27}x^2 + \sqrt{75}y) (\sqrt{27}x^2 - \sqrt{75}y)}}}}}$

${\large{\frak{ \red{This \ is \ the \ required \ answer}}}}$