Learning these TS Inter 2nd Year Maths 2A Formulas Chapter 7 Partial Fractions will help students to solve mathematical problems quickly.
TS Inter 2nd Year Maths 2A Partial Fractions Formulas
| Factor of g(x) | The form of the partial fractions of \( \frac{f(x)}{g(x)} \) corresponding to the factor of g(x) |
| 1. (ax + b) | \( \frac{A}{(a x+b)} \) |
| 2. (ax + b)n. a ≠ 0 and n (> 1) ∈ N | \( \frac{A_1}{(a x+b)}+\frac{A_2}{(a x+b)^2} \) + …………….. + \( \frac{A_n}{(a x+b)^n} \) |
| 3. Irreducible ax2 + bx + c, a ≠ 0 | \( \frac{A x+B}{\left(a x^2+b x+c\right)} \) |
| 4. (ax2 + bx + c)n, a ≠ 0 and n (> 1) ∈ N | \( \frac{A_1 x+B_1}{\left(a x^2+b x+c\right)}+\frac{A_2 x+B_2}{\left(a x^2+b x+c\right)^2} \) + ………………. + \( \frac{A_n x+B_n}{\left(a x^2+b x+c\right)^n} \) |