Simplify the following:

(3 / X * X) - (2 + X) / X(X + 1)

asked by guest
on Apr 25, 2024 at 10:56 am

You asked:

Simplify the expression: \(\frac{3}{X} \cdot X - \frac{2 + X}{X \cdot \left(X + 1\right)}\)

MathBot Answer:

Simplified:

\[ \frac{3}{X} \cdot X - \frac{2 + X}{X\left( X + 1 \right)} = \frac{3 X \left(X + 1\right) - X - 2}{X \left(X + 1\right)} \]

Expanded:

\[ \frac{3}{X} \cdot X - \frac{2 + X}{X\left( X + 1 \right)} = - \frac{X}{X^{2} + X} + 3 - \frac{2}{X^{2} + X} \]

Factored:

\[ \frac{3}{X} \cdot X - \frac{2 + X}{X\left( X + 1 \right)} = \frac{3 X^{2} + 2 X - 2}{X \left(X + 1\right)} \]

asked 9 days ago

active 9 days ago