Question

Reduce to the lowest terms 1. 4x^3 y^4 / -8xy^2 2. 3m^2-3n^2 / 6m+6n

Answer 1

1.
$\dfrac{4x^{3}y^{4}}{-8xy^{2}}=\dfrac{4}{-8}\cdot x^{3-1}y^{4-2}=\dfrac{-x^{2}y^{2}}{2}$

2.
$\dfrac{3m^{2}-3n^{2}}{6m+6n}=\dfrac{3}{6}\cdot \dfrac{(m+n)(m-n)}{m+n}=\dfrac{m-n}{2}$