How do you factor the expression #m ^2 + 3mn - 10n ^2#?

1 Answer
Noah G
Sep 1, 2016

The expression can be factored to #(m + 5n)(m - 2n)#.

Explanation:

The is a regular trinomial of the form #y = ax^2 + bx+ c#, except a second variable has been added.

Find two numbers that multiply to #-10# and that add to #3#.

Two numbers that do this are #5# and #-2#.

#=> (m + 5n)(m - 2n)#

Hopefully this helps!

Related questions
See all questions in Factorization of Quadratic Expressions
Impact of this question
1359 views around the world
You can reuse this answer
Creative Commons License