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Factorize : x^2+9x+18...

Factorize : `x^2+9x+18`

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The given expression is ` x^2+ 9x+18`.
We try to spilt 9 into two parts whose sum is 9 and product 18.
Clearly, ` 6+3=9 and 6xx3 =18`.
`therefore x^2+9x+18=x^2+6x+3x+18`
`=x(x+6)+39x+6)`
`=(x+6)(x+3)`
Hence, `x^2+9x+18=(x+6)(x+3)`.
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