Question

simplify (x+y)²-(x - y)² + x²y² ​

Answer 1

Step-by-step explanation:

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

Answer 2

Answer

(x+y)²-(x-y)²+x²y²

= (x²+y²+2xy)-(x²+y²-2xy)+(x²y²)

= x²+y²+2xy-x²-y²+2xy+x²y²

= 4xy+x²y²