(2x-5y)^(3)-(2x+5y)^(3)

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

Find the following products and verify the result for x=-1,y=-2:(3x-5y)(x+y)(2)(x^(2)y-1)(3-2x^(2)y)((1)/(3)x-(y^(2))/(5))((1)/(3)x+(y^(2))/(5))

Factorisation by grouping the terms: (x^(2)+3x)^(2)-5(x^(2)+3x)-y(x^(2)+3x)+5y

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

The equation of the transvers and conjugate axes of a hyperbola are, respectively, x+2y-3=0 and 2x-y+4=0 , and their respective lengths are sqrt(2) and 2sqrt(3)dot The equation of the hyperbola is 2/5(x+2y-3)^2-3/5(2x-y+4)^2=1 2/5(x-y-4)^2-3/5(x+2y-3)^2=1 2(2x-y+4)^2-3(x+2y-3)^2=1 2(x+2y-3)^2-3(2x-y+4)^2=1

Simplify: (2x + 5y)(3x + 4y) - (7x + 3y)(2x + y)

Evaluate : (2x - 5y)(2x+ 3y) for x = 2 and y = 3.

If (3x-5y)/(3x+5y) = 1/2 . Then find the value of (3x^(2)-5y^(2))/(3x^(2) + 5y^(2)) .

If (3x-5y)/(3x+5y)=1/2 find the value of (3x^2-5y^2)/(3x^2+5y^2)

The equation of the transvers and conjugate axes of a hyperbola are, respectively, x+2y-3=0 and 2x-y+4=0 , and their respective lengths are sqrt(2) and 2/sqrt(3)dot The equation of the hyperbola is a) 2/5(x+2y-3)^2-3/5(2x-y+4)^2=1 b) 2/5(x-y-4)^2-3/5(x+2y-3)^2=1 c) 2/5(2x-y+4)^2-3/5(x+2y-3)^2=1 d) 2(x+2y-3)^2-3(2x-y+4)^2=1