Question

Decompose (x - 1)/(3x^2 - 14 x + 15) into partial fractions

Answer 1

2. (x - 1)/((3x - 5)(x - 3))

x - 1 = A/(3x - 5) + B/(x - 3)
x - 1 = A(x - 3) + B(3x - 5)
x - 1 = Ax - 3A + 3Bx - 5B
x - 1 = x(A + 3B) - 3A - 5B

3(A + 3B = 1)
-3A - 5B = -1

3A + 9B = 3
-3A - 5B = -1

4B = 2
B = ½

A + 3(½) = 1
A = -½

Answer 2

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Answer 3

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Answer 4

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