[" Lif) "(4x+5y)(4x+5y)],[" U(x) "(x^(2)+7)(x^(2)+7)]

If 7x - 15y = 4x + y , find the value of x: y . Hence, use componendo and dividendo to find the values of : (i) (9x + 5y)/(9x - 5y) (iI) (3x^(2) + 2y^(2))/(3x^(2) - 2y^(2))

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 : (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))

(x^(2)+4x)^(2)-5(x^(2)+4x)-y(x^(2)+4x)+5y

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

Multiply (4x + 5y) xx (9x + 7y)

Find'the centre and radius of the circle (i) x^(2) +y^(2) + 4x - 1 = 0 (ii) 2 x^(2) + 2y^(2) = 3x - 5y + 7

(4)/(x) + (5)/(y) = 7 , (3)/(x) + (4)/(y) = 5