Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
a2 − 2ab + b2 − c2
उत्तर
\[a^2 - 2ab + b^2 - c^2 \]
\[ = ( a^2 - 2ab + b^2 ) - c^2 \]
\[ = ( a^2 - 2 \times a \times b + b^2 ) - c^2 \]
\[ = (a - b )^2 - c^2 \]
\[ = [(a - b) - c][(a - b) + c]\]
\[ = (a - b - c)(a - b + c)\]
APPEARS IN
संबंधित प्रश्न
Find the greatest common factor of the terms in each of the following expression:
3a2b2 + 4b2c2 + 12a2b2c2
Factorize each of the following algebraic expressions:
x3(a − 2b) + x2(a − 2b)
Factorize each of the following algebraic expression:
4x4 + 1
Factorize each of the following algebraic expression:
x2 + 12x − 45
Factorize each of the following algebraic expression:
a2 − 14a − 51
Factorize each of the following algebraic expression:
x2 + 14x + 45
Factorize each of the following algebraic expression:
a2 + 14a + 48
Factorize each of the following algebraic expression:
(a + 7)(a − 10) + 16
Factorise the following expression.
p2 − q2
