Simplify the following:

(3 / X²) - (2 + X) / X(X + 1)

asked by guest
on Apr 25, 2024 at 10:55 am

You asked:

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

MathBot Answer:

Simplified:

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

Expanded:

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

Factored:

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

asked 10 days ago

active 10 days ago