Step 1: Factor the numerator and the denominator. The numerator is a difference of squares: m² − 1 = (m−1)(m+1). The denominator has a common factor of m: m² − m = m(m−1). Step 2: Rewrite the expression with the factored terms. (m² − 1)/(m² − m) = ((m−1)(m+1))/(m(m−1)) Step 3: Cancel out the common factor (m−1) from the numerator and the denominator. (m−1)(m+1)m(m−1) Step 4: Write the simplified expression. (m+1)/(m) The simplified expression is (m+1)/(m).

Solved: Simplify m2-1 m2-m | Mathematics

Factor the numerator and the denominator.
The numerator is a difference of squares: $m^2 - 1 = (m-1)(m+1)$ .
The denominator has a common factor of $m$ : $m^2 - m = m(m-1)$ .
Rewrite the expression with the factored terms.
$\frac{m^2 - 1}{m^2 - m} = \frac{(m-1)(m+1)}{m(m-1)}$
Cancel out the common factor $(m-1)$ from the numerator and the denominator.
$\frac{\cancel{(m-1)}(m+1)}{m\cancel{(m-1)}}$
Write the simplified expression.
$\frac{m+1}{m}$

Simplify m2-1 m2-m

Answer

Step-by-step solution

Factor the numerator and the denominator.

Rewrite the expression with the factored terms.

Cancel out the common factor $(m-1)$ from the numerator and the denominator.

Write the simplified expression.

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