((x/2)-470)-1/3((x/2)-470) simplify

asked by guest
on Sep 23, 2024 at 8:31 pm



You asked:

Evaluate the expression: \(\frac{x}{2} - 470 - \frac{1}{3 \cdot \left(\frac{x}{2} - 470\right)}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{x}{2} - 470 - \frac{1}{3 \cdot \left(\frac{x}{2} - 470\right)} = \frac{x}{2} - 470 - \frac{1}{\frac{3 x}{2} - 1410} \)


Expanded

\[\frac{x}{2} - 470 - \frac{1}{3 \cdot \left(\frac{x}{2} - 470\right)} = \frac{x}{2} - 470 - \frac{1}{\frac{3 x}{2} - 1410}\]


Factored

\[\frac{x}{2} - 470 - \frac{1}{3 \cdot \left(\frac{x}{2} - 470\right)} = \frac{3 x^{2} - 5640 x + 2650796}{6 \left(x - 940\right)}\]