Question

factorise x4 + X2 y2+y4​

Answer 1

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Question}}}}}}}}$

factorise

$\sf x^4 +x^2y^2 + y^4$

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Answer}}}}}}}}$

$\implies\sf x^4 +x^2y^2 + y^4$

$\implies\sf x^4 +2x^2y^2 + y^4 - x^2y^2$

${\bold{\blue{\boxed{\bf{a^2 + 2ab + b^2 = (a+b)^2}}}}}$

$\implies\sf\ (x^2 +y^2)^2 - (xy)^2$

${\bold{\blue{\boxed{\bf{a^2- b^2 = (a+b)(a-b) }}}}}$

$\implies\sf(x^2 + y^2 + xy )(x^+y^2-xy)$

${\bold{\blue{\boxed{\bf{\dag(x^2 + y^2 + xy)(x^2 + y^2 - xy)}}}}}$

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