Advertisements
Advertisements
Question
Factorize the following expressions:
8a3 - b3 - 4ax + 2bx
Advertisements
Solution
= 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
RELATED QUESTIONS
Factorize xy9 - yx9
Factorize `x^2 - 2sqrt2x - 30`
(3x - 2 y)3 + (2 y - 4z )3 + (4z - 3x)3
8x3 -125y3 +180xy + 216
What must be added to the following expression to make it a whole square?
4x2 − 12x + 7
Multiply: x2 + y2 + z2 − xy + xz + yz by x + y − z
Multiply: 9x2 + 25y2 + 15xy + 12x − 20y + 16 by 3x − 5y + 4
Divide: - 16ab2c by 6abc
Divide: 4a2 - a by - a
Express the following as an algebraic expression:
The subtraction of 5m from 3n and then adding 9p to it.
