Question 1 - A-Level Maths

Exam Board	OCR
Module	C4 (Core Mathematics 4)
Year	2015
Session	June
Topic	Polynomial Division & Manipulation

Express \(\frac { 2 } { 3 - x } + \frac { 3 } { 1 + x }\) as a single fraction in its simplest form.
Hence express \(\left( \frac { 2 } { 3 - x } + \frac { 3 } { 1 + x } \right) \times \frac { x ^ { 2 } + 8 x - 33 } { 121 - x ^ { 2 } }\) as a single fraction in its lowest terms.