x+6/(a-b)(a+b)+x+6/x-6

asked by guest
on Oct 09, 2024 at 4:22 am



You asked:

Evaluate the expression: \(x + \frac{6}{\left(a - b\right) \cdot \left(a + b\right)} + x + \frac{6}{x} - 6\)

MathBot Answer:

Evaluated



\(\displaystyle x + \frac{6}{\left(a - b\right) \cdot \left(a + b\right)} + x + \frac{6}{x} - 6 = 2 x - 6 + \frac{6}{\left(a - b\right) \left(a + b\right)} + \frac{6}{x} \)

Expanded

\[x + \frac{6}{\left(a - b\right) \cdot \left(a + b\right)} + x + \frac{6}{x} - 6 = 2 x - 6 + \frac{6}{a^{2} - b^{2}} + \frac{6}{x}\]

Factored

\[x + \frac{6}{\left(a - b\right) \cdot \left(a + b\right)} + x + \frac{6}{x} - 6 = \frac{2 \left(a^{2} x^{2} - 3 a^{2} x + 3 a^{2} - b^{2} x^{2} + 3 b^{2} x - 3 b^{2} + 3 x\right)}{x \left(a - b\right) \left(a + b\right)}\]

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