X 3) x-x*+ 4)*-**4 + 3) v If

If ( x -4)^(3) + ( x-5)^(3) + ( x-3) ^(3) = 3 ( x - 4) ( x - 5) ( x - 3) , then what is the value of x ?

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)

Evaluate : (v) (3x - 4y) (3x + 4y) (9x^ + 16y^2)

Find the value of x in each of the following . (i) root5(5x + 2) = 2 (ii) root3(3x - 2) =4 (iii) ((3)/(4))^(3)((4)/(3))^(-7)= ((3)/(4))^(2x) (iv) 5^(x-3) xx 3^(2x -8) = 225 (v) (3^(3x) . 3^(2x))/(3^(x)) = root4(3^(20))

on dividing a polynomial p(x) by x^2 - 4, quotient and remainder are found to be x and 3 respectively. the polynomial p(x) is a) 3 x^2 +x -12 b) x^3 -4x +3 c) x^2 +3x-4 d) x^3 -4x-3

on dividing a polynomial p(x) by x^2 - 4, quotient and remainder are found to be x and 3 respectively. the polynomial p(x) is a) 3 x^2 +x -12 b) x^3 -4x +3 c) x^2 +3x-4 d) x^3 -4x-3

Without expanding, find the value of: (i) (x + 1)^4 - 4(x + 1)^3 (x - 1) + 6(x + 1)^2 (x - 1)^2 - 4(x + 1) (x - 1)^3 + (x -1)^4 (ii) (2x - 1)^4 + 4(2x - 1)^3 (3 - 2x) + 6(2x - 1)^2 (3 - 2x)^2 + 4(2x - 1) (3 - 2x)^3 + (3 - 2x)^4

((4x-3) / (2x + 1))-10 ((2x + 1) / (4x-3)) = 3, x! =-1/2, 3/4

Integrate the following w.r.t. x. (i) 4x^(3) , (ii) x-1/x , (iii) 1/(2x+3) , (iv) cos (4x+3) (v) cos^(2) x