(1)/(4)y^(2)+y^(2)+(1)/(16)z^(2)-xy-(1)/(2)y^(2)+(1)/(4)xy

(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: (11)/(2)x^(2)y-(9)/(4)xy^(2)+(1)/(4)xy-(1)/(14)y^(2)x+(1)/(15)yx^(2)+(1)/(2)xy

Subtract: x^(2)y-(4)/(5)xy^(2)+(4)/(3)xy om (2)/(3)x^(2)y+(3)/(2)xy^(2)-(1)/(3)xy

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)

Factorize: 4x^(2)-4xy+y^(2)-9z^(2) (ii) 16-x^(2)-2xy-y^(2)x^(4)-(x-z)^(4)

Find the following products: (4)/(27)xyz((9)/(2)x^(2)yz-(3)/(4)xyz^(2)) 1.5x(10x^(2)y-100xy^(2)) 4.1xy(1.1x-y)250.5xy(xz+(y)/(10))

If xy + yz + zx = 1 , show that x/(1-x^(2)) +y/(1-y^(2)) + z/(1-z^(2))= 4xyz/((1-x^(2))(1-y^(2)) (1-z^(2)))

If xy+yz+xz=1, then prove that (x)/(1-x^(2))+(y)/(1-y^(2))+(z)/(1-z^(2))=(4xyz)/((1-x^(2))(1-y^(2))(1-z^(2)))

If xy+yz+zx=1 show that (x)/(1-x^(2))+(y)/(1-y^(2))+(z)/(1-z^(2))=(4xyz)/((1-x^(2))(1-y^(2))(1-z^(2)))