Question

Simplify the following rational expression and express in expanded form.

Answer 1

D m =
`-(3)/(8)`

Explanation:

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

=>
`(2(-2m + 1)(2m - 1))/(2(2m - 1)(8m + 3))`

=>
`-(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:

=>
`-(2m + 1)/(8(-(3)/(8) ) + 3)` =
`-(2m + 1)/(-3 + 3)` =
`-(2m + 1)/(0)`

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