The factors of `x^3-x^2y-x y^2+y^3` are (a`(x+y)(x^2-x y+y^2)` (b) `(x+y)(x^2+x y+y^2)` (c)`(x+y)^2(x-y)` (d) `(x-y)^2(x+y)`

The factors of x^(3)-x^(2)y-xy^(2)+y^(3) are (a (x+y)(x^(2)-xy+y^(2))(b)(x+y)(x^(2)+xy+y^(2))(c)(x+y)^(2)(x-y)(d)(x-y)^(2)(x+y)

The factors of x^3-1+y^3+3x y are (a) (x-1+y)(x^2+1+y^2+x+y-x y) (b) (x+y+1)(x^2+y^2+1-x y-x-y) (c) (x-1+y)(x^2-1-y^2+x+y+x y) (d) 3(x+y-1)(x^2+y^2-1)

Verify : (i) x^3+y^3=(x+y)(x^2-x y+y^2) (ii) x^3-y^3=(x-y)(x^2+x y+y^2)

The factors of x^(3)-1+y^(3)+3xy are (a) (x-1+y)(x^(2)+1+y^(2)+x+y-xy)( b) (x+y+1)(x^(2)+y^(2)+1-xy-x-y)( c) (x-1+y)(x^(2)-1-y^(2)+x+y+xy)(d)3(x+y-1)(x^(2)+y^(2)-1)

HCF of x^2 - y^2 and x^3 - y^3 is (A) x-y (B) x^3 -y^3 (C ) (x^2 - y^2) (D) (x+y ) (x^2 xy + y^2)

The factors of x^(2)+4y^(2)+4y-4xy-2x-8 are (a)(x-2y-4)(x-2y+2)(b)(x-y+2)(x-4y-4)(c)(x+2y-4)(x+2y+2) (d) none of these

(x + 2) (x + 1) = (x -2) (x -3) (y+3)(y+2)=(y-1)(y-2)

(x+y)^3−(x−y)^3 can be factorized as (a) 2y(3x^2+y^2) (b) 2x(3x^2+y^2) (c) 2y(3y^2+x^2) (d) 2x(x^2 +3y^2)

If xa n dy are of same sign, then the value of (x^3)/2cos e c^2(1/2tan^(-1)x/y)+(y^3)/2sec^2(1/2tan^(-1)y/x) is equal to (x-y)(x^2+y^2) (b) (x+y)(x^2-y^2) (x+y)(x^2+y^2)dot (d) (x-y)(x^2-y^2)