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Factorize of the expression: 5sqrt(5)...

Factorize of the expression: `5sqrt(5)\ x^2+30 x+8sqrt(5)`

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The given expression is ` 5sqrt(5)x^2+30x+8sqrt(5)`.
Here, `(5sqrt(5)xx 8sqrt(5))=200`.
So, we split 30 into two parts whose sum is 30 and product 200.
Clearly, `(20+10) =30 and (20xx 10) =200`
`therefore 5sqrt(5)x^2+30x+8sqrt(5)=5sqrt(5)x^2+20x^2+20x+10x+8sqrt(5)`.
`=5x(sqrt(5)x+4)+2sqrt(5)(sqrt(5)x+4)`
`=(sqrt(5)x+4)(5x+2sqrt(5))`.
Hence, `(5sqrt(5)x^2+30x+8sqrt(5))=(sqrt(5)x +4)(5x+2sqrt(5))`.
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