Advertisements
Advertisements
प्रश्न
Factorize `x^2 + 5sqrt5x + 30`
Advertisements
उत्तर
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
संबंधित प्रश्न
Factorize x3 - 2x2 y + 3xy2 - 6y3
Factorize the following expressions:
y3 +125
Factorize the following expressions:
`x^3/216 - 8y^3`
Factorize the following expressions:
`8x^2y^3 - x^5`
Factorize : x2 − 1 − 2a − a2
Evaluate: (8 - 12x + 7x2 - 6x3)(5 - 2x)
Evaluate:
(i) (a + b)(a - b)
(ii) (a2 + b2)(a + b)(a - b); using the result of (i).
(iii) (a4 + b4)(a2 + b2)(a + b)(a - b); using the result of (ii).
Divide: 12x3y - 8x2y2 + 4x2y3 by 4xy
Solve the following equation.
3y + 4 = 5y − 6
A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?
