Expand the following:
`(x+1)(6+3x)+(4x+3)(3x+4)`

Expand the following: (1+x+x^2)^4

Expand the following (i) (3a-2b)^(3) (ii) ((1)/(x)+(y)/(3))^(3) (iii) (4-(1)/(3x))^(2)

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

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)

3/(4x + 3)=1/(4x)

Evaluate the following limit: (lim)_(x->oo)((3x-1)(4x-2))/((x+8)(x-1))

Simplify the following 4x-(3x+3)-[2x-4[x+3(x-5)}]

Evaluate the following limit: (lim)_(x->1)(x^4-3x^3+2)/(x^3-5x^2+3x+1)

Evaluate the following limits : Lim_(x to 1) (x^(4) - 3x^(3) +2)/(x^(3)-5x^(2)+3x+1)