EVALUATE : (i) `(2x+3y)^2` (ii) `(2x-3y)^2` (iii) `(2x+3y) (2x-3y)`

Evaluate: (2x+3y)^(2)( ii) (2x-3y)^(2)(2x+3y)2x-3y)

Expand each of the following (i) (2x+5y)^(2) (ii) (x-3y)^(2) (iii) (x+5)(x-3)

Expand : (i) (2x+3y)^(3) " " (ii) (5y-3x)^(3) " " (iii) (2a+3b)^(3) .

Convert the following equations into intercept form and find the intercepts cuts from axes from these lines : (i) 4x+3y=24 (ii) 2x-7y=14 (iii) 2x+3y=6 (iv)3x-y=4

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)

Find the point of intersection of the straight lines : (i) 2x+3y-6=0 , 3x-2y-6=0 (ii) x=0 , 2x-y+3=0 (iii) (x)/(3)-(y)/(4)=0 , (x)/(2)+(y)/(3)=1

Factorize : ( 2x + 3y )^2 + 2 (2x + 3y ) ( x + y ) + ( x + y )^2

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

Find the parametric representation of the circles : (i) 3x^(2) + 3y^(2) = 4 . (ii) ( x - 2)^(2) + (y - 3)^(2) = 5 .