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

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Answer 1 · 2015-05-13T07:20:44

We can factorise the expression by making groups of 2:

$(mz-5mh^2)-(5nz-25nh^2)$

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

$= m(z - 5h^2) - 5n(z - 5h^2)$

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

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

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