Answer
$(x-7y)(x-2y)$
Work Step by Step
$(x+my)(x+ny)=x^{2}+(m+n)xy+(mn)y^{2}$
$x^{2}-9xy+14y^{2}=$
Searching for two factors of $c=14$ whose sum is $b=-9,$
we find$\qquad -7$ and $-2.$
$x^{2}-9xy+14y^{2}=(x-7y)(x-2y)$
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