Factorize following expressions
(i) `(x+1)(x+2)(x+3)(x+4)-15" (ii)"4x(2x+3)(2x-1)(x+1)-54`
(iii) `(x-3)(x+2)(x+3)(x+8)+56`

Factorize the expression (i)(x+1)(x+2)(x+3)(x+4)-15

Factorize following expressions (i) x^(2)+3x-40" (ii)"x^2-3x-40" (iii)"x^(2)+5x-14 (iv) x^2-3x-4" (v)"x^2-3x-40" (vi)"3x^2-10x+8 (vii) 12x^2-x-35" (viii)"3x^2-5x-2" (ix)"3x^2-7x+4 (x) 7x^2-8x+1" (xi)"2x^2-17x+26" (xii)"3a^2-7a-6 (xiii) 14a^2+a-3

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)

Factorize following expressions (i) x^(3)-6x^2+11x-6 " (ii)" 2x^3+9x^2+10x+3 (iii) 2x^3-9x^2+13x-6" (iv)" x^6-7x^2-6

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))

Factorize each of the following expressions: 54x^(6)y+2x^(3)y^(4),8x^(2)y^(3)-x^(5)

Check whether the following are quadratic equation (i) (x+1)^2=2(x-3) (ii) x^2-2x=(-2)(3-x) (iii) (x-2)(x+1)=(x-1)(x+3) (iv) (x-3)(2x+1)=x(x+5) (v) (2x-1)(x-3)=(x+5)(x-1) (vi) x^2+3x+1=(x-2)^2 (vii) (x+2)^3=2x(x^2-1) (viii) x^3-– 4x^2 – x + 1 = (x – 2)^3

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