Advertisements
Advertisements
Question
Factorize a2 - b2 + 2bc - c2
Advertisements
Solution
= a2 - (b2 - 2bc + c2 )
Using identity a2 - 2ab + b2 = (a - b)2
= a2 - (b - c)2
Using identity a2 - b2 = (a + b)(a - b)
= (a + b - c)(a - (b - c))
= (a + b - c)(a - b + c)
∴ a2 - b2 + 2bc - c2 = (a + b - c)(a - b + c)
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorize `2a^2 + 2 sqrt6ab + 3b^2`
Factorize `x^2 + 2sqrt3x - 24`
Factorize `21x^2 - 2x + 1/21`
Given possible expressions for the length and breadth of the rectangle having 35y2 + 13y – 12 as its area.
(x + y)3 − (x − y)3 can be factorized as
The value of \[\frac{(2 . 3 )^3 - 0 . 027}{(2 . 3 )^2 + 0 . 69 + 0 . 09}\]
Divide: 8a2 + 4a - 60 by 2a - 5
Divide: 6x3 + 5x2 − 21x + 10 by 3x − 2
Divide: x5 - 15x4 - 10x2 by -5x2
The simplest form of 5 ÷ `(3/2) - 1/3` is ______.
