Question

Factorise:

$4x^4+9y^4+11x^2{y}^2$

Answer 1

​​​​​​$4x^4+9y^4+11x^2{y}^2\Rightarrow 4x^4+9y^4+12x^2{y}^2-x^2{y}^2\Rightarrow \left[\right(2x^2{)}^2+(3y^2{)}^2+12x^2{y}^2]-x^2{y}^2[Use{a}^2+b^2+2ab=(a+b{)}^2]\Rightarrow (2x^2+3y^2{)}^2-\left(xy{)}^2\right[Use{a}^2-b^2=(a-b)(a+b)]\Rightarrow [2x^2+3y^2-xy\left]\right[2x^2+3y^2+xy]$