Find the reciprocal.
-$\frac{x^{2}+2 x y-y^{2}}{x^{2}-6 x y+y^{2}}$
A) $\frac{x^{2}+6 x y+y^{2}}{x^{2}-2 x y-y^{2}}$
B) $\frac{x^{2}-2 x y+y^{2}}{x^{2}+6 x y-y^{2}}$
C) $\frac{1}{x^{2}-6 x y-y^{2}}$
D) $\frac{x^{2}-6 x y+y^{2}}{x^{2}+2 x y-y^{2}}$

Question

Quizplus · Accepted Answer

The reciprocal of a fraction is obtained by swapping its numerator and denominator. Therefore, the reciprocal of $\frac{x^{2}+2 x y-y^{2}}{x^{2}-6 x y+y^{2}}$ is $\frac{x^{2}-6 x y+y^{2}}{x^{2}+2 x y-y^{2}}$.

Find the Reciprocal x2+2xy−y2x2−6xy+y2\frac{x^{2}+2 x y-y^{2}}{x^{2}-6 x y+y^{2}}x2−6xy+y2x2+2xy−y2​ A) x2+6xy+y2x2−2xy−y2\frac{x^{2}+6 x y+y^{2}}{x^{2}-2 x y-y^{2}}x2−2xy−y2x2+6xy+y2​

Find the Reciprocal $\frac{x^{2}+2 x y-y^{2}}{x^{2}-6 x y+y^{2}}$ A) $\frac{x^{2}+6 x y+y^{2}}{x^{2}-2 x y-y^{2}}$