Question

Reduce to lowest terms.

3m^2-3n^2/6m-6n

A) -m-n/2

B) m-n/2

C) m+n/2

Answer 1

Answer:

C)

`(m + n)/(2)`

Explanation:

`\frac{3{m}^(2) - 3 {n}^(2) }{6m - 6n } = \frac{3( {m}^(2) - {n}^(2)) }{3(2m - 2n)} \\ = \frac{ {m}^(2) - {n}^(2) }{2m - 2n} \\ = ((m - n)(m + n))/(2(m - n)) \\ = (m + n)/(2)`

Answer 2

C. m+n/2

Explanation:

Factor out the 3 in the numerator and apply the difference of squares, factor out the 6 in the denominator, and reduce where applicable. It'll all cone out to look like option C.