Verify that `-(-x)=x` for: `x=-13/17`

Verify that -(-x)=x for: x=11/15

Verify that y=sqrt(a^(2)-x^(2)) is a solution of the differential equation x+ydy/dx=0

Verify that : x^3+y^3+z^3-3xyz=1/2(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2] Consider R.H.S

Verify whether 2x ^(4) - 6x ^(3) + 3x ^(2) + 3x -2 is divisible by x ^(2) - 3x +2 or not ? How can you verify using Factor Theorem ?

Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(2) + (y-z) ^(2) + (z-x) ^(2) ]

Verify whether 3, -1 and -(1)/(3) are the zeroes of the cubic polynomial p(x)=3x^(3)-5x^(2)-11x-3 , and then verify the relationship between the zeroes and the coefficients.

Devide p(x) by g(x) in each of the following cases and verify division algorithm: p(x)= x^(3)+4x^(2)-5x+6, g(x)= x+1

Verify the following : (i) x^3+y^3=(x-y)(x^2-xy+y^2) (ii) x^3-y^3=(x-y) (x^2+xy+y^2)

Verify whether 1 and (3)/(2) are the roots of the equation 2x^(2)-5x+3=0

Verify Mean value theorem, if f(x)= x^(2)-4x-3 in the interval [a,b] where a=1 and b=4