Advertisements
Advertisements
Question
Factorize `x^2 + 2sqrt3x - 24`
Advertisements
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)`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorize: `a^2 x^2 + (ax^2 + 1)x + a`
Factorize the following expressions:
8a3 - b3 - 4ax + 2bx
Factorize a3 x3 - 3a2bx2 + 3ab2 x - b3
(2x - 3y)3 + (4z - 2x)3 + (3y - 4z )3
Write the value of 253 − 753 + 503.
Mark the correct alternative in each of the following: The factors of a2 − 1 − 2x − x2 are
Evaluate: (6p2 - 8pq + 2q2) (- 5p)
Divide: 8m - 16 by - 8
Divide: 35a3 + 3a2b - 2ab2 by 5a - b
Which of the following is correct?
