The coefficient of `x^2` in `(2x^2-5) (4+3x^2)` is
a) 2
b)3
c)8
d)‐7​

Write (i) the coefficient of x^(3) in 3x^(2)-5x^(3)+x^(4) . (ii) the coefficient of x in sqrt(3)-2sqrt(2)x+6x^(2) . (iii) the coefficient of x^(2) in 2x-3+x^(3) , (iv) the coefficient of x in (3)/(8)x^(2)-(2)/(7)x+(1)/(6) . (v) the constant term in (pi)/(2)x^(2)+7x-(2)/(5)pi .

The coefficient of x^(5)in(1+2x+3x^(2)+...)^(-3/2)is(|x|<1)21 b.25c.26d .none of these

Write t for ture and f for false for each of the following: 1. In-x, the constant trem is -1 2. The coefficient of x in x^2-3x+5 is 3. (5x-7)-(3x-5)=2x-12 4. (3x+5y)(3x-5y)=(9x^2-25y^2) 5. If a=2 and b= 1/2 then value of ab(a^2+b^2) is 4.1/4

The sum of the coefficients in the terms of 2x^2y-3x y^2+4x y is -3 (b) 3 9 (d) 5

Obtain the differential coefficient of the following : (i) (x-1) (2x+5) (ii) (9x^(3)-8x+7)(3x^(2)+5) (iii) 1/(2x+1) (iv) (3x+4)/(4x+5) (v) (x^(2))/(x^(3)+1)

The sum of the coefficients in the expansion of (2+5x^2-7x^3)^2000= (A) 0 (B) 1 (C) 2 (D) none of these

What is the coefficient of x^(5) in the expansion (1-2x+3x^(2)-4x^(3)+……oo)^(-5) ?