The given function is:
F(x) = (2x² + x) / (2 - 2x)
To simplify this expression, we can factor out a common factor of 2 from the numerator:
F(x) = 2(x² + 1/2x) / (2 - 2x)
Next, we can simplify the denominator by factoring out a common factor of -2:
F(x) = 2(x² + 1/2x) / (-2(x - 1))
Now, we can cancel out the common factor of 2:
F(x) = (x² + 1/2x) / (-x + 1)
Therefore, the simplified form of the given function is:
F(x) = (x² + 1/2x) / (1 - x)
I hope this helps! Let me know if you have any further questions.
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The given function is:
F(x) = (2x² + x) / (2 - 2x)
To simplify this expression, we can factor out a common factor of 2 from the numerator:
F(x) = 2(x² + 1/2x) / (2 - 2x)
Next, we can simplify the denominator by factoring out a common factor of -2:
F(x) = 2(x² + 1/2x) / (-2(x - 1))
Now, we can cancel out the common factor of 2:
F(x) = (x² + 1/2x) / (-x + 1)
Therefore, the simplified form of the given function is:
F(x) = (x² + 1/2x) / (1 - x)
I hope this helps! Let me know if you have any further questions.