domain (m-2)/(8m^2-4m)-(m+2)/(8m^2-4m)

1) Let's find the domain of

\frac{m - 2}{8 m^{2} - 4 m} - \frac{m + 2}{8 m^{2} - 4 m}

For the expression

\frac{m - 2}{8 m^{2} - 4 m}

to be defined, we must have:

8 m^{2} - 4 m \neq 0

You can write the expression:

8 m^{2} - 4 m

in factored form:

m \cdot (8 m - 4)

⇥1.1) Let's solve in

ℝ

m \neq 0

⇥Solution found:

m \neq 0

⇥1.2) Let's solve in

ℝ

8 m - 4 \neq 0

⇥

8 m \neq 4

⇥ⓘ Both sides are divided by

8

⇥

m \neq \frac{4}{8}

⇥ⓘ We simplify the fraction by dividing the numerator and the denominator by

4

, their greatest common divisor:

\frac{4}{8}

\frac{1 \cdot 4}{2 \cdot 4}

\frac{1}{2}

⇥Solution found:

m \neq \frac{1}{2}

▶Domain of definition:

m \in ℝ \ {0, \frac{1}{2}}

2) The numeric value of:

m \in ℝ \ {0, \frac{1}{2}}

is:

▷

m \in ℝ \ {0, 0.5}