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Question
Factorize `x^2 - 2sqrt2x - 30`
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Solution
Splitting the middle term,
`= x^2 - 5sqrt2x + 3sqrt2x - 30` `[∵ -2sqrt2 = -5sqrt2 + 3sqrt2 also -5sqrt2 xx 3sqrt2 =-30]`
`x(x - 5sqrt2) + 3sqrt2(x - 5sqrt2)`
`= (x - 5sqrt2)(x + 3sqrt3)`
`∴ x^2 - 2sqrt2x - 30 = (x - 5sqrt2)(x + 3sqrt2)`
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