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

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Answer 1 · 2016-09-01T14:10:40

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

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

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

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

$\Rightarrow (m + 5 n) (m - 2 n)$ $=> (m + 5n)(m - 2n)$

Hopefully this helps!

How do you factor the expression m ^2 + 3mn - 10n ^2m2+3mn−10n2m ^2 + 3mn - 10n ^2?