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Question
Factorize `5sqrt5x^2 + 20x + 3sqrt5`
Solution
Splitting the middle term,
`= 5sqrt5x^2 + 15x + 5x + 3sqrt5` `[∵ 20 = 15 + 5 and 15 xx 5 = 5 = 5sqrt5 xx 3sqrt5]`
`= 5x(sqrt5x + 3) + sqrt5(sqrt5x + 3)`
`=(sqrt5x + 3)(5x + sqrt5)`
`∴ 5sqrt5 x^2 + 20x + 3sqrt5 = (sqrt5x + 3)(5x + sqrt5)`
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