Question

Factorise
x4 + x2y2 + y4 ​

Answer 1

Answer:

$\Huge {\underline {\underline {\mathbf {\green{Answer}}}}}$

Step-by-step explanation:

$\small \bf \red{ {x}^{4} + {x}^{2} {y}^{2} + {y}^{4} }$

$\small \mathbf \color{plum}{Adding \: and \: subtracting \: {x}^{2} {y}^{2} \: from \: the \: equation ,\: we \: get:}$

$\small \bf \blue{ {x}^{4} + {x}^{2} {y}^{2} + {y}^{4} + {x}^{2} {y}^{2} - {x}^{2} {y}^{2} }$

$\small \bf \blue{ = [ ({x}^{2})^{2} + 2 {x}^{2} {y}^{2} + ({y}^{2})^{2}] - {x}^{2} {y}^{2} }$

$\small \bf \blue{ = {( {x}^{2} + {y}^{2})^{2} - {x}^{2} {y}^{2} }}$