How do you solve $q^2+11qr+18r^2$ ?

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Answer 1 · 2017-05-04T23:16:58

$q^2+11qr+18r^2 = (q+9r)(q+2r)$

Given:

$q^2+11qr+18r^2$

Find a pair of factors of $18$ with sum $11$ .

The pair $9, 2$ works.

Hence we find:

$q^2+11qr+18r^2 = (q+9r)(q+2r)$

How do you solve q^2+11qr+18r^2q^2+11qr+18r^2?