State true or false: `x+2x+3x=5x`

State true or false : If f(x)=(x+1/x)^(2n)+(x-1/x)^(2n) the f(x) is a polynomial function which is an even function.

State true or false : x=5 is a solution of the equations 3-x=8

state true or false (3x + 3x^2)÷ 3x = 3x^(2)

State true or false : In the expansion of (x^2/y+y^2/x)^15 there is no term independent of x and y both.

State true or false : In the expansion of (x+1/x)^13 every term is a function of x.

State true or false: In the expansion of (1+2x+x^2)^9 there is exactly one term whose coefficient is not equal to coefficient of any other term.

State True or False: If a^2 =5 , then a^3= 25 .

State whether the following statements are true or false. (x+2)(x-5) =x^(2) - 3x+10

State True or False: 1+x/2+x^3 is a polynomial.

State True or False: corr( x,x )= 1