Question

Simplify the following rational expression and express in expanded form.

Answer 1

Answer:

D m =  $-\frac{3}{8}$

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> $\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}$

=> $-\frac{2m + 1}{8m + 3}$

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:

=> $-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}$ = $-\frac{2m + 1}{-3 + 3}$ = $-\frac{2m + 1}{0}$

in this case, the values of m from option D make the denominator of the fraction equals 0.