SIMPLIFY x(x − 1) + 2(x − 1) − x(x + 1)

asked by guest
on Jan 10, 2025 at 11:41 pm



You asked:

Simplify the expression: \(x \left(x - 1\right) + 2 \left(x - 1\right) - x \left(x + 1\right)\)

MathBot Answer:

Simplified:

\[ x\left( x - 1 \right) + 2 \left(x - 1\right) - x\left( x + 1 \right) = x \left(x - 1\right) - x \left(x + 1\right) + 2 x - 2 \]

$$\begin{aligned}x \left(x - 1\right) + 2 \left(x - 1\right) - x \left(x + 1\right)\\x^{2} - x + 2 \left(x - 1\right) - x \left(x + 1\right)\\x^{2} - x - x^{2} + x + 2 \left(x - 1\right)\\x^{2} - x - x^{2} + x + 2 x - 2\\x^{2} - x - x^{2} - x + 2 x - 2\\-2\end{aligned}$$

Expanded:

\[ x\left( x - 1 \right) + 2 \left(x - 1\right) - x\left( x + 1 \right) = -2 \]


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