Advertisements
Advertisements
Question
Factorize `x^2 + 5sqrt5x + 30`
Advertisements
Solution
Splitting the middle term,
`= x^2 + 2sqrt5x + 3sqrt5x + 30` `[∵ 5sqrt5 = 2sqrt5 + 3sqrt5 " also " 2sqrt5 xx sqrt3 = 30]`
`= x(x + 2sqrt5) + 3sqrt5(x + 2sqrt5)`
`= (x + 2sqrt5)(x + 3sqrt5)`
`∴ x^2 + 5sqrt5x + 30 = (x + 2sqrt5)(x + 3sqrt5)`
APPEARS IN
RELATED QUESTIONS
Factorize x( x - 2)( x - 4) + 4x - 8
Factorize the following expressions:
1029 – 3x3
Factorize 8a3 + 27b3 + 36a2b + 54ab2
The value of \[\frac{(2 . 3 )^3 - 0 . 027}{(2 . 3 )^2 + 0 . 69 + 0 . 09}\]
Evaluate: (4m - 2)(m2 + 5m - 6)
Evaluate: (a2 + b2 + c2 - ab - bc - ca)(a + b + c)
Divide: 9x2 - 24xy + 16y2 by 3x- 4y
In the formula, area of circle = πr2, the numerical constant of the expression πr2 is ______.
The total number of planets of Sun can be denoted by the variable n.
Which of the following statements about polynomials is correct?
