Given 2x^ 2 +7x-3 (x-1)^ 2 (x+2) = A x+2 + B x-1 + C (x-1)^ 2

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Given 2x2+7x−3(x−1)2(x+2)=Ax+2+Bx−1+C(x−1)2,\frac{2x^{2}+7x-3}{(x-1)^{2}(x+2)}=\frac{A}{x+2}+\frac{B}{x-1}+\frac{C}{(x-1)^{2}}, find the values of A, BA,\,B and CC.

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