Answer:
D m = [tex]-\frac{3}{8}[/tex]
Step-by-step explanation:
factor the expressions in the denominator and the numerator to simplify the expression:
=> [tex]\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}[/tex]
=> [tex]-\frac{2m + 1}{8m + 3}[/tex]
to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:
=> [tex]-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}[/tex] = [tex]-\frac{2m + 1}{-3 + 3}[/tex] = [tex]-\frac{2m + 1}{0}[/tex]
in this case, the values of m from option D make the denominator of the fraction equals 0.
