Write the coefficient of `x^2` in the following:
(i) `x^2 - x + 4`
(ii) `x^3 - 2x^2 + 3x + 1`
(iii) `1 + 2x + 3x^2 + 4x^3`
(iv) `y + y^2x + y^3x^2 + y^4x^3`

write the coefficient of x^(2) in each of the following (i) (pi)/(6)x+x^(2)-1 (ii) 3x-5 (iii) (x-1)(3x-4) (iv) (2x-5)(2x^(2)-3x+1)

Expand each of the following: ( i (3x+4y)^(2) (ii) (3x-4y)^(2)

Obtain the different coefficient of the following : (i) (x-1)(2x+5) (ii) (1)/(2x+1) (iii) (3x+4)/(4x+5) (iv) (x^(2))/(x^(3)+1)

Write the numerical coefficient of each terms in the following algebraic expressions: (i) 4x^2y-3/2x y+5/2x y^2 (ii) -5/3x^2y+7/4x y z+3

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 terms of 2x^2y-3x y^2+4x y is -3 (b) 3 9 (d) 5

Find each of the following products: (i) (4x - 7y) (4x - 7y) (ii) (3x^(2) - 4y^(2)) (3x^(2) - 4y^(2))

Find each of the following products: (i) (4x + 5y) (4x - 5y) (ii) (3x^(2) + 2y^(2)) (3x^(2) - 2y^(2))

Find the values of (x-y) , if (i) 3x + 4y = 11 , 4x + 3y = 10 (ii) 3x + 2y = 8 , 2x + 3y = 7

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)