Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
a2 − b2 + 2bc − c2
Sum
Advertisements
Solution
\[a^2 - b^2 + 2bc - c^2 \]
\[ = a^2 - ( b^2 - 2bc + c^2 )\]
\[ = a^2 - ( b^2 - 2 \times b \times c + c^2 )\]
\[ = a^2 - (b - c )^2 \]
\[ = [(a - (b - c)][(a + (b - c)]\]
\[ = (a - b + c)(a + b - c)\]
\[ = a^2 - ( b^2 - 2bc + c^2 )\]
\[ = a^2 - ( b^2 - 2 \times b \times c + c^2 )\]
\[ = a^2 - (b - c )^2 \]
\[ = [(a - (b - c)][(a + (b - c)]\]
\[ = (a - b + c)(a + b - c)\]
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
6(a + 2b) −4(a + 2b)2
Factorize each of the following algebraic expressions:
(2x − 3y)(a + b) + (3x − 2y)(a + b)
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − 16
Factorize each of the following algebraic expression:
a4 + 3a2 +4
Factorize each of the following algebraic expression:
4x4 + 1
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Factorize each of the following algebraic expression:
25x2 − 10x + 1 − 36y2
Factorise the following expression.
p2 − q2
Factorise the following expression.
y2 − 4
The value of p in the equation `(2"p")/3` = 10 is ________
