Factorize X^2 - 2sqrt2x - 30 - Mathematics

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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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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.1 [Page 9]

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 27 | Page 9

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