xy(a^(2)+1)-a(x^(2)+y^(2))

Find the least number common multiple of xy(k^(2)=1)+k(x^(2)+y^(2)) and xy(k^(2)-1)+k(x^(2)-y^(2)) .

(1)/(8)zx^(2)y-(1)/(7)z^(2)xy+(1)/(6)zy^(2)x-(1)/(5)zy^(2)x^(2)-(1)/(4)xyz^(2)+(1)/(3)xy^(2)z-(1)/(2)x^(2)y^(2)z

Simplify : (x^(2) - y^(2) + 2xy + 1) - (x^(2) + y^(2) + 4xy - 5)

Resolve into factors xy(z^2+1)+z(x^2 + y^2 )

The locus of the foot of the perpendicular from the center of the hyperbola xy=1 on a variable tangent is (x^(2)-y^(2))=4xy(b)(x^(2)-y^(2))=(1)/(9)(x^(2)-y^(2))=(7)/(144)(d)(x^(2)-y^(2))=(1)/(16)