10,x^(3)+y^(3)+2x^(2)-2y^(2)

Find the greatest common factor (GCF/HCF) of the following polynomials: 2x^(3)y^(2),10x^(2)y^(3)14xy( ii) 14x^(3)y^(5),10x^(5)y^(3),2x^(2)y^(2)

Show that x - 2y is a factor or 3x^(3) - 2x^(2) y - 13xy^(2) + 10y^(3) .

(x+y)^(3)-(x-y)^(3) can be factorized as 2y(3x^(2)+y^(2)) (b) 2x(3x^(2)+y^(2))2y(3y^(2)+x^(2)) (d) 2x(x^(2)+3y^(2))

Show that: (x^(2)+y^(2))^(5)=(x^(5)-10x^(3)y^(2)+5xy^(4))^(2)+(5x^(4)-10x^(2)y^(3)+y^(5))^(2)

If log _(10)((x^(3)-y^(3))/(x^(3)+y^(3))) = 2 , then show that (dy)/(dx) = (-99x^(2))/(101y^(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))

If 3x^(3) -2x^(2)y -13xy^(2)+10y^(3) is divided by x-2y , then what will be the remainder?

Simplify : (2x+y)^(5)-5y(2x+y)^(4)+10y^(2)(2x+y)^(3)-10y^(3)(2x+y)^(2)+5y^(4)(2x+y)-y^(5)