Factorize X^2 + 2sqrt3x - 24 - Mathematics

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Factorize `x^2 + 2sqrt3x - 24`

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Solution

Splitting the middle term,

`= x^2 + 4sqrt3x - 2sqrt3x - 24`        `[∴ 2sqrt3 = 4sqrt3 - 2sqrt3  " also " 4sqrt3(-2sqrt3) = -24]`

`= x(x + 4sqrt3) - 2sqrt3(x + 4sqrt3)`

`= (x + 4sqrt3)(x - 2sqrt3)`

`∴ x^2 + 2sqrt3x - 24 = (x + 4sqrt3)(x - 2sqrt3)`

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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 30 | Page 9

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