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sqrt(2)x^2+9x+4sqrt(2)...

`sqrt(2)x^2+9x+4sqrt(2)`

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The given expression is `sqrt(2x)^2+9x+4sqrt(2)`.
Here, `sqrt(2)xx 4sqrt(2)=8`
We split 9 into two parts whose sum is 9 and product 8.
Clearly , `(8+1)=9 and (8xx1)=8`
`therefore sqrt(2)x^2+9x+4sqrt(2)=sqrt(2)=sqrt(2)x^2+8x+x+4sqrt(2)`
`=sqrt(2)x(x+4sqrt(2))+(x+4sqrt(2))`
` =(x+4sqrt(2))(sqrt(2)x +1)`.
Hence, `(sqrt(2)x^2+9x+4sqrt(2))=9x+4sqrt(2))(sqrt(2)x+1)`.
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