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Exercise

$\frac{2\left(x+1\right)\left(x-2\right)}{2x+2}$

Step-by-step Solution

1

Factor the denominator by $2$

$\frac{2\left(x+1\right)\left(x-2\right)}{2\left(x+1\right)}$
2

Cancel the fraction's common factor $2$

$\frac{\left(x+1\right)\left(x-2\right)}{x+1}$
3

Simplify the fraction $\frac{\left(x+1\right)\left(x-2\right)}{x+1}$ by $x+1$

$x-2$

Final answer to the exercise

$x-2$

Try other ways to solve this exercise

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Main Topic: Polynomial long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.

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