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

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

Text Solution

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`5sqrt(5)x^2+ 30x + 8sqrt(5`)
Splitting the middle term
`= 5sqrt(5)x^2+ 20x + 10x + 8sqrt(5)`
`= 5sqrt(5)x^2 + 4 xx 5x + (2sqrt(5) ) × sqrt(5) x + 2sqrt(5) × 4`
`= 5x (sqrt(5)x + 4 ) + ( 2sqrt(5) ) [ sqrt(5)x + 4 ]`
`= ( sqrt(5)x + 4 ) ( 5x + 2sqrt(5) )`
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