Question

X^2+y^2-z^2+2xy/x^2-y^2-z^2-2yz

Answer 1

x²+y²-z²+2xy/x²-y²-z²-2yz
2xy+2yz
2(xy+yz)

Answer 2

Answer :


$given \: \: {x}^{2} + y {}^{2} - {z}^{2} + \frac{2xy}{x {}^{2} } - {y}^{2} - {z}^{2} - 2yz \\ \\ = > \: firstly \: eliminate \: the \: opposite \: \\ \\ = > \: x {}^{2} - z {}^{2} + \frac{2xy}{x {}^{2} } - z {}^{2} - 2yz \\ \\ = > \: simplify \: \\ \\ = > \: x {}^{2} - z {}^{2} + \frac{2y}{x} - z {}^{2} - 2yz \\ \\ = > \: collect \: like \: terms \\ \\ = > \: x {}^{2} - 2z {}^{2} + \frac{2y}{x} - 2yz \\ \\ write \: all \: numerators \: above \: l.c.m \\ \\ = > \: \frac{x {}^{3} - 2xz {}^{2} + 2y - 2xyz }{x}$


Hope it would help you