Question

Simplify: (x²-y²+2xy+1)-(x²+y²+4xy-5)​

Answer 1

(x²-y²+2xy+1)-(x²+y²+4xy-5)

x²-y²+2xy+1-x²-y²-4xy+5

-2y²-2xy+6

-2(y²+xy-3)

Answer 2

$\huge{\underline {\underline {\mathfrak{Solution:-}}}}$

Here, a – sign precedes the second parenthesis,so we remove it and change the sign of each term within.

$∴ ( {x}^{2} - {y}^{2} + 2xy + 1) - ( {x}^{2} + {y}^{2} + 4xy - 5)$

$=) {x}^{2} - {y}^{2} + 2xy + 1 - {x}^{2} - {y}^{2} - 4xy + 5$

$=) (1 - 1) {x}^{2} - {2y}^{2} + (2 - 4)xy + 6$

$=) {-2y}^{2} - 2xy + 6.$

$\huge{\red{\ddot{\smile}}}$