Simplify :
(i) `(5x - 9y) - (-7x + y)`
(ii) `(x^(2) -x) -(1)/(2)(x - 3 + 3x^(2))`
(iii) `[7 - 2x + 5y - (x -y)]-(5x + 3y -7)`
(iv) `((1)/(3)y^(2) - (4)/(7)y + 5) - ((2)/(7)y - (2)/(3)y^(2) + 2) - ((1)/(7)y - 3 + 2y^(2))`

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

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

Simplify : ( 3y ( x - y) - 2x ( y -2x))/( 7x ( x - y) - 3 ( x ^(2) - y ^(2)))

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)

Simplify: (2x+3y)(3x4y)-(7x+3y)(x+2y)

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))

(x)/(2) - ( y )/(9) = 6, ( x) /( 7) + ( y ) /(3) = 5 .

Find each of the following products: (i) (x + 6) (x + 6) (ii) (4x + 5y) (4x + 5y) (iii) (7a + 9b) (7a + 9b) (iv) ((2)/(3) x + (4)/(5)y) ((2)/(3) x + (4)/(5) y) (v) (x^(2) + 7)(x^(2) + 7) (vi) ((5)/(6) a^(2) + 2) ((5)/(6) a^(2) + 2)

Simplify: [5-3x+2y-(2x-y)]-(3x-7y+9)

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)