How do you factor by grouping mz-5mh^2-5nz+25nh^2?

1 Answer
May 13, 2015

We can factorise the expression by making groups of 2:

$\left(m z - 5 m {h}^{2}\right) - \left(5 n z - 25 n {h}^{2}\right)$

$m$ is factor common to both the terms in the first group, and $5 n$ is common to both the terms in the second group

$= m \left(z - 5 {h}^{2}\right) - 5 n \left(z - 5 {h}^{2}\right)$

$z - 5 {h}^{2}$ is common to both the terms in the expression

 = color(green)( (z - 5h^2)(m-5n)