1/a(a-b)+1/a(a+b)

asked by guest
on Jan 04, 2025 at 5:52 pm



You asked:

Evaluate the expression: \(\frac{1}{a \left(a - b\right)} + \frac{1}{a \left(a + b\right)}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{1}{a \left(a - b\right)} + \frac{1}{a \left(a + b\right)} = \frac{1}{a \left(a + b\right)} + \frac{1}{a \left(a - b\right)} \)

Expanded

\[\frac{1}{a \left(a - b\right)} + \frac{1}{a \left(a + b\right)} = \frac{1}{a^{2} + a b} + \frac{1}{a^{2} - a b}\]

Factored

\[\frac{1}{a \left(a - b\right)} + \frac{1}{a \left(a + b\right)} = \frac{2}{\left(a - b\right) \left(a + b\right)}\]

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