Question

Simplify the following
(x2- y2)2 + 4x2y2​

Answer 1

${( {x}^{2} - {y}^{2}) }^{2} + 4 {x}^{2} {y}^{2} \\ = {x}^{4} + {y}^{4} - 2 {x}^{2} {y}^{2} + 4 {x}^{2} {y}^{2} \\ = {x}^{4} + {y}^{4} + 2 {x}^{2} {y}^{2} \\ = {( {x}^{2} + {y}^{2} ) }^{2}$

Answer 2

Answer:4x^6 - y^2

Step-by-step explanation: sum is - ($x^{2}$ - $y^{2}$ )^2 + $4x^2 y^2$

--> $x^4 - y^4 +4x^2 y^2$

--> $4x^2 + x^4 - y^4 +y^2$

-->$4x^6 - y^2$ (Answer)