Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
a2 − 2ab + b2 − c2
Advertisements
उत्तर
\[a^2 - 2ab + b^2 - c^2 \]
\[ = ( a^2 - 2ab + b^2 ) - c^2 \]
\[ = ( a^2 - 2 \times a \times b + b^2 ) - c^2 \]
\[ = (a - b )^2 - c^2 \]
\[ = [(a - b) - c][(a - b) + c]\]
\[ = (a - b - c)(a - b + c)\]
संबंधित प्रश्न
Factorize each of the following algebraic expressions:
a(x − y) + 2b(y − x) + c(x − y)2
Factorize each of the following algebraic expressions:
(2x − 3y)(a + b) + (3x − 2y)(a + b)
Factorize each of the following expressions:
qr − pr + qs − ps
Factorize each of the following algebraic expression:
16 − a6 + 4a3b3 − 4b6
Factorize each of the following algebraic expression:
96 − 4x − x2
Factorize each of the following algebraic expression:
4x4 + y4
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Factorize each of the following algebraic expression:
a2 − b2 + 2bc − c2
Factorize each of the following algebraic expression:
x2 − 22x + 120
Factorize each of the following algebraic expression:
y2 + 5y − 36
