Question Type 1: Applying partial fractions on linear factors on power of 1 Exercises

Express $\frac{x+2}{x(x+1)(x+3)}$ in partial fractions.

Express $\frac{-x+6}{x(x-2)}$ as partial fractions.

Decompose $\frac{2x^2+3x+1}{x(x+1)(x+2)}$ into partial fractions.

Decompose $\frac{x^2-1}{(x-1)(x+2)(x+3)}$ into partial fractions.

Express $\frac{x}{(x+4)(x-7)}$ in partial fractions.

Decompose $\frac{2x+3}{(x-1)(x+2)}$ into partial fractions.

Express $\frac{3x-5}{(x-2)(x-3)}$ in partial fractions.

Decompose $\frac{4x+7}{(2x-1)(x+3)}$ into partial fractions.

Decompose $\frac{5x-4}{(3x+1)(x-2)}$ into partial fractions.

Decompose the rational function into partial fractions: $\frac{3x + 5}{(x - 1)(x + 2)}$

Express $\frac{5x+2}{x^2-1}$ in partial fractions.