A-level Maths · Algebra and functions

Partial fractions

Express (ax + b)/((x + c)(px + d)) as A/(x + c) + B/(px + d) and find A and B.

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Question 1

Express 9x+15(x−3)(x+4)\frac{9x + 15}{(x - 3)(x + 4)} in the form Ax−3+Bx+4\frac{A}{x - 3} + \frac{B}{x + 4}, where A and B are integers. Find the values of A and B.

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