Chapter 10 - Section 10.7 - Partial Fractions - 10.7 Exercises - Page 750: 47

See explanations.

(a) The expression is already a partial fraction decomposition as it satisfies all the conditions for a complete partial fraction decomposition. (b) The expression can be decomposed further as one term with a denominator of $(x+1)$ is missing. (c) The expression is already a partial fraction decomposition as it satisfies all the conditions for a complete partial fraction decomposition. (d) The expression can be decomposed further as one term with a denominator of $(x^2+1)$ is missing.