(x" iii ")x^(2)-2ax+(a+b)(a-b)

Factorise : x^(2)-2ax+(a+b)(a-b)

Factorise the following expressions : (i) ax-ay+bx-by " " (ii) x^(2)-x-ax+a " " (iii) x^(4)+x^(3)+x^(2)+x (iv) 16(a+b)^(2)-4a-4b " " (v) x^(2)+(1)/(x^(2))+2-3x-(3)/(x) " " (vi) x^(2)-((a)/(b)+(b)/(a))x+1 (vii) x^(2)+(a-(1)/(a))x-1 " " (viii)ab(x^(2)+y^(2)+xy(a^(2)+b^(2)) " "(ix) (ax+by)^(2)+(bx-ay)^(2)

Let's resolve into factors:- x^2 + 2ax + (a+b) (a-b)

The value of int(ax^(2))/(x sqrt(c^(2)x^(2)-(ax^(2)+b)^(2)))(1)/(c)sin^(-1)(ax+(b)/(x))+k csin^(-1)(a+(b)/(x))+esin^(-1)((ax+(b)/(x))/(c))+k( d) none of these

If f(x) = x^(3) + x^(2) - ax + b is divisible by x^(2) - x , find values of a and b .

The value of int((ax^(2)-b)dx)/(x sqrt(c^(2)x^(2)-(ax^(2)+b)^(2))) is equal to

For some constants a and b,find the derivative of (i) (x-a)*(x-b)( ii) (ax^(2)+b)^(2) (iii) (x-a)/(x-b)

For some constants a and b, find the derivative of : (i) (x-a)(x-b) (ii) (ax^(2)+b)^(2) (iii) (X-a)/(x-b)

For some constant a and b, find the derivative of i. (x-a)(x- b) ii. (ax^(2)+b)^(2) iii. (x-a)/(x-b)