`(x+a)(x+2a)(x+3a)(x+4a)=b^4`

The solution of (x + a)/(x - 2a) = (x + 3a)/(x - 4a) is

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)

The value of the determinant |(x, x+a, x+2a),(x,x+2a, x+4a),(x, x+3a, x+6a)| is (A) 0 (B) a^3-x^3 (C) x^3-a^3 (D) (x-a)^3

The value of the determinant |(x, x+a, x+2a),(x,x+2a, x+4a),(x, x+3a, x+6a)| is (A) 0 (B) a^3-x^3 (C) x^3-a^3 (D) (x-a)^3

Prove that : |{:(x+a,x+2a,x+3a),(x+2a,x+3a,x+4a),(x+4a,x+5a,x+6a):}|=0

Prove that : |{:(x+a,x+2a,x+3a),(x+2a,x+3a,x+4a),(x+4a,x+5a,x+6a):}|=0

Let y=(2x^(2))/((x-2)(x-3)(x-4))+(3x)/((x-3)(x-4))+(x)/(x-4) .If (x)/(y)(dy)/(dx)=(a)/(2-x)+(b)/(3-x)+(c)/(4-x) then a+b+c is

Find each of the following products: 5x^(2)x4x^(3)(2)-3a^(2)x4b^(4)

If int(dx)/(x^(2)(x^(4)+1)^(3//4))=A((x^(4)+1)/(x^(4)))^(B)+c, then

A : (a-b)/(a)+(1)/(2)((a-b)/(a))^(2)+(1)/(3)((a-b)/(a))^(3)+....=log_(e)((a)/(b)) R : log_(e)(1-x)=-x-(x^(2))/(2)-(x^(3))/(3)-(x^(4))/(4)-....