Question:
Factorize:
$x^{2}+18 x+32$
Solution:
We have:
$x^{2}+18 x+32$
We have to split 18 into two numbers such that their sum is 18 and their product is 32.
Clearly, $16+2=18$ and $16 \times 2=32$
$\therefore x^{2}+18 x+32=x^{2}+16 x+2 x+32$
$=x(x+16)+2(x+16)$
$=(x+16)(x+2)$
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