Write the partial fraction decomposition of the rational expression. Check your result algebraically. x+1/x(x^2-4)
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Step 1
Step 1: Factor the denominator x(x^2-4) = x(x+2)(x-2) Step 2: Write the partial fraction decomposition as A/x + B/(x+2) + C/(x-2) Step 3: Multiply both sides by x(x^2-4) to clear the fractions: x+1 = A(x+2)(x-2) + Bx(x-2) + Cx(x+2) Step 4: Expand the right Show more…
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