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2 years ago

Express f(x) =3\x²- 1 in partial fraction

1 answer:

7 0

3/(x ² - 1) = 3/((x - 1) (x + 1)) = a/(x - 1) + b/(x + 1)

==> 3 = a (x + 1) + b (x - 1)

==> 3 = (a + b) x + a - b

==> a + b = 3 and a - b = 0

==> a = b

==> a + b = 2a = 3 ==> a = 2/3 and b = 2/3

So you have

3/(x ² - 1) = 2/(3(x - 1)) + 2/(3(x + 1))

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Express f(x) =3\x²- 1 in partial fraction​

Express f(x) =3\x²- 1 in partial fraction