" (i) "(x)/(3)-(2)/(x+y)=1quad " 3ौ "quad (x)/(4)+(3)/(x+y)=3

(4)/(x-y) + (1)/(x + y) = 3 , (2)/(x - y) - (3)/(x + y) = 5

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)

Solve the following simultaneous equations. (1)/(3x + y) + (1)/(3x - y) = (3)/(4) , (1)/(2(3x + y)) - (1)/(2(3x - y)) = - (1)/(8)

Solve the following system of equations: (1)/(3x+y)+(1)/(3x-y)=(3)/(4),quad (1)/(2(3x+y))-(1)/(2(3x-y))=-(1)/(8)

1/(3x+y)+1/(3x-y)=3/4 and 1/(3x+y)-1/(3x-y)= -1/4

Find (x+y)+(x-y), if x=(5)/(4),y=(-1)/(3) (ii) x=(2)/(7),y=(4)/(3)( iii) x=(1)/(4),y=(3)/(2)

(1) / (3x + y) + (1) / (3x-y) = (3) / (4) (1) / (2 (3x + y)) - (1) / (2 (3x-y) )) = - (1) / (8)

If y = 2x + 3x ^ (2) + 4x ^ (3) + ......., then (y) / (2) - (1.3) / (2!) ((Y) / (2) ) ^ (2) + (1.3.5) / (3!) ((Y) / (3)) ^ (3) -...... oo =