Advertisements
Advertisements
प्रश्न
Factorize the following expressions:
8a3 - b3 - 4ax + 2bx
Advertisements
उत्तर
= 8a3 - b3 - 2x (2a - b)
= (2a )3 - b3 - 2x (2a - b)
= (2a - b)((2a)2 + 2a ´ b + b2 )- 2x (2a - b) [∵ a3 - b3 = (a - b)(a2 + ab + b2 )]
= (2a - b)(4a2 + 2ab + b2 ) - 2x (2a - b)
= (2a - b)(4a2 + 2ab + b2 - 2x)
∴ 8a3 - b3 - 4ax + 2bx = (2a - b)(4a2 + 2ab + b2 - 2x)
APPEARS IN
संबंधित प्रश्न
Factorize the following expressions:
x3y3 + 1
Factorize the following expressions:
a3 + 3a2b + 3ab2 + b3 - 8
Factorize x3 + 8y3 + 6x2 y +12xy2
Factorize x3 -12x ( x - 4) - 64
If x + y = 4 and xy = 2, find the value of x2 + y2
Factorize: x4 + x2 + 25.
Multiply: (2x - 3y)(2x - 3y)
The area of a rectangle is 6x2 – 4xy – 10y2 square unit and its length is 2x + 2y unit. Find its breadth.
Divide: 12a2 + ax - 6x2 by 3a - 2x
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?
