`y=(x^2-2x+5)/(x^2+2x+5)`

y= (2x+5)/(3x-2)

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

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

If x/y=13/6 then find the value of (2x^2+5y^2)/(2x^2-5y^2)

If x ^(2) - 2x ^(2) y ^(2) + 5x + y-5 =0 and y (1) then y '' (1)=

If x:y::5:2, then (x ^(2) +y)/(x + y ^(2)) =?

A pair of perpendicular straight lines is drawn through the origin forming with the line 2x+3y=6 an isosceles triangle right-angled at the origin. The equation to the line pair is 5x^2-24 x y-5y^2=0 5x^2-26 x y-5y^2=0 5x^2+24 x y-5y^2=0 5x^2+26 x y-5y^2=0

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))

Fractorise: (x +y)(2x +5) - (x + y) (x +3)