` (ii) (2x+3)(3x+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)

Simplify: (i) (x+4)^2 (ii) (2x+3)(2x-3)

Differentiate the following with respect to x. (i) (4 x +2)(5x^2 +4) (ii) (2x^3 _3) (2x^(-3) +1)

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))

Use suitable identities to find the following products: (i) (x+4)(x+10) (ii) (x+8)(x-10) (iii) (3x+4)(3x-5) (iv) (y^2+3/2)(y^2-3/2) (v) (3-2x)(3+2x)

Find the derivative of (i)2x-(3)/(4) (ii) (5x^(3)+3x-1)(x-1) (iii) x^(-3)(5+3x)

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)

Find the derivative (i) x^(1//3) (ii) (2)/(x^(3//2)) (iii) 3x^(-1//4)

Which of the following are quadratic equations? 16x^(2)-3=(2x+5)(5x-3)( ii) (x+2)^(3)=x^(3)-4( ii) x(x+1)+8=(x+2)(x-2)