If `x:y=3:5` ,then find `((1)/(x)+(1)/(y)):((1)/(x)-(1)/(y))`

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))

Find the product of the binomials: ((1)/(2)x-(1)/(5)y)((1)/(2)x-(1)/(5)y)

Evaluate [(x^(y))^(1-(1)/(y))]^((1)/(y-1))

If x:y= 3:1, then find the ratio x-y:x+y

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

If (2x + 3,y-1) =(3,5) , then find x and y.

x+y=2 and (1)/(x)+(1)/(y)=2. FInd x^(3)+y^(3)

Find the value of ( 1/x + 1/y ) ( 1/x - 1/y )