Home
Class 12
MATHS
Resolve (2x)/(x^3-1) into partial fracti...

Resolve `(2x)/(x^3-1)` into partial fractions.

Text Solution

AI Generated Solution

To resolve the expression \(\frac{2x}{x^3 - 1}\) into partial fractions, we will follow these steps: ### Step 1: Factor the Denominator The denominator \(x^3 - 1\) can be factored using the difference of cubes formula: \[ x^3 - 1 = (x - 1)(x^2 + x + 1) \] Thus, we can rewrite the expression as: ...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos
  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Resolve (x)/((x-1)^3) into partial fractions

Resolve (1)/(x^(2)-9) into partical fractions.

Resolve (1)/(x^(2)-x into partial fractions

Resolve (1)/((x-1)(x+3)) into partial fractions.

Resolve (1)/((x-1)(x+3)) into partial fractions.

Resolve (1)/((x-1)(x-2)) into partial fractions."

Resolve 1/((x+1)(x+2)) into partial fractions

Resolve 1/((x+1)(x+2)) into partial fractions

Resolve (1)/((x-5)(x+7) into partial fractions

Resolve (2x-3)/((x+3)(x+1)) into partial fractions .