`(x^3+8)/(x+2)=x^2+2x+4.` Is the given statement true?

x = 2 is a roots of the equation x^(2) - 5x + 6 = 0 . Is the given statement true?

(x^(3)-8) -: x^(2)+2x+4

Statement I : (2x-1)/((x+1)(x^(2)+2))=(A)/(x+1)+(3x+c)/(x^(2)+2) then A= -1 Statement II : (Ax)/((x+2)(2x-3))=(2)/(x+2)+(3)/(2x-3) then A= 7 Statement III : The number of partial fractions of (x^(2)+1)/((x-1)^(4)) is 3. Which of the above statements are true.

2x(3+4y)=6x+4y Is this statement true? If not, rewrite the correct statement.

If x < 4, which of the following statements are true? Justify your answers.:- 2x < 8

Statement-I : log(1+x+x^(2)+…)=x+(x^(2))/(2)+(x^(3))/(3)+(x^(4))/(4)+… Statement-II : 4^(th) term of log(3//2) is (-1)/(64) Statement-III: "Tan"^(2)x-(1)/(2)"Tan"^(4)x+(1)/(3)"Tan"^(6)x ………. =2log(sec x) Which of the above statements are true

Consider the following statemens : 1. x+3 is the factor of x^(3)+2x^(2)+3x+8 2. x-2 is the factor of x^(3)+2x^(2)+3x+8 . Which of the statements given above is /are correct ?

Let F(x) be an indefinite integral of sin^(2)x Statement-1: The function F(x) satisfies F(x+pi)=F(x) for all real x. because Statement-2: sin^(3)(x+pi)=sin^(2)x for all real x. A) Statement-1: True , statement-2 is true, Statement -2 is not a correct explanation for statement -1 c) Statement-1 is True, Statement -2 is False. D) Statement-1 is False, Statement-2 is True.

Let F(x) be an indefinite integral of sin^(2)x Statement-1: The function F(x) satisfies F(x+pi)=F(x) for all real x. because Statement-2: sin^(3)(x+pi)=sin^(2)x for all real x. A) Statement-1: True , statement-2 is true, Statement -2 is not a correct explanation for statement -1 c) Statement-1 is True, Statement -2 is False. D) Statement-1 is False, Statement-2 is True.