If 6x+5 x(x-3)^2 = A x + B x-3 + C (x-3)^2

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If 6x+5x(x−3)2=Ax+Bx−3+C(x−3)2,\frac{6x+5}{x(x-3)^2} = \frac{A}{x}+\frac{B}{x-3}+\frac{C}{(x-3)^2}, determine A, BA,\,B and CC.

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