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

1 Answer
Don't Memorise
May 13, 2015

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)#

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