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
1- 27a3
If x + y = 4 and xy = 2, find the value of x2 + y2
Simplify : \[\frac{1 . 2 \times 1 . 2 \times 1 . 2 - 0 . 2 \times 0 . 2 \times 0 . 2}{1 . 2 \times 1 . 2 + 1 . 2 \times 0 . 2 + 0 . 2 \times 0 . 2}\]
Multiply: (2x - 3y)(2x + 3y)
Divide: 9a4b - 15a3b2 + 12a2b3 by - 3a2b
Divide: 6x3 + 5x2 − 21x + 10 by 3x − 2
Divide: 5x2 - 3x by x
When y = –1, the value of the expression 2y – 1 is 3
An algebraic statement which is equivalent to the verbal statement “Three times the sum of ‘x’ and ‘y’ is
In a polynomial, the exponents of the variables are always ______.
