[" 31."x^(2)+2sqrt(3)x-24],[" 32."8x^(2)+2xy-15y^(2)],[" 33."y^(2)+2y-120]

Add 2x^(2)+5xy-2y^(2), 3x^(2)-2xy+5y^(2) and 2x^(2)+8xy+3y^(2)

Add: 8x^(2) - 5xy - 3y^(2), 2xy - 6y^(2) + 3x^(2) and y^(2) + xy - 6x^(2)

Subtract : -2x^(2)y + 3xy^(2) from 8x^(2)y

Divide 14x^(3)y^(2) + 8x^(2)y^(3) - 22xy^(4) " by " -2xy^(2)

Divide : 36x^(2)y^(2) + 42 xy^(3) - 24 x^(3)y^(2) - 12 y^(5) by - 6y^(2)

Divide 14x^(3)y^(2)+8x^(2)y^(3)-32x^(2)y^(5) by -2xy^(2)

The following are the steps involved in factorizing 64 x^(6) -y^(6) . Arrange them in sequential order (A) {(2x)^(3) + y^(3)} {(2x)^(3) - y^(3)} (B) (8x^(3))^(2) - (y^(3))^(2) (C) (8x^(3) + y^(3)) (8x^(3) -y^(3)) (D) (2x + y) (4x^(2) -2xy + y^(2)) (2x - y) (4x^(2) + 2xy + y^(2))

Equation of the parabola whose focus is centre of the circle " x^(2)+y^(2)=4x+6y " and whose directrix is the line " x-y=0 " is A) " x^(2)+y^(2)+2xy-8x-12y+26=0 B ) " x^(2)+y^(2)-2xy-8x-12y-26=0 C) " x^(2)+y^(2)+2xy+8x+12y+26=0 D) " x^(2)+y^(2)-2xy-8x-12y+26=0