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fgiga [73]
2 years ago
5

Review the work showing the first few steps in writing a partial fraction decomposition.

Mathematics
1 answer:
allochka39001 [22]2 years ago
7 0

Answer:

8/(x + 2) - 4/(x + 6)

Step-by-step explanation:

4x + 40 = Ax + 6A + Bx + 2B

Equating coefficients of x

4 = A + B      (1)

Equating constant terms:

40 = 6A + 2B    (2)

Multiply  equation (1) by -2:

-8 = -2A - 2B   .. (3)

Add (2) and (3):

32 = 4A

A = 32/4

A = 8.

4 = 8 + B

B = 4 - 8

B = -4.

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