`|a^3-x a^4-x a^5-x a^5-x a^6-x a^7-x a^7-x a^8-x a^9-x|`

simplify (x+x^(2)+x^(3)+x^(4)+x^(5)+x^(6)+x^(7))/(x^(-3)+x^(-4)+x^(-5)+x^(-6)+x^(-7)+x^(-8)+x^(-9))

Simplify: (9x -7)(2x - 5) - (3x - 8)(5x -3)

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

Let f(x)=x^(8)-6x^(7)+5x^(6)+x^(4)-5x^(3)-x^(2)-3x+3AA x in R then f(5) is equal to :-

Subtract: 7x^(4)-5x^(3)+4x^(2)+3x-3 from 6x^(4)-4x^(3)-8x^(2)-2x+7

Find the coefficient of x^7 in the expansion of (1+2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6 + 8x^7)^10

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) - 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)