Advertisements
Advertisements
Question
Factorize each of the following expressions:
x2 − 2ax − 2ab + bx
Solution
\[x^2 - 2ax - 2ab + bx\]
\[ = ( x^2 - 2ax) + (bx - 2ab)\] [Regrouping the expressions]
\[ = x(x - 2a) + b(x - 2a)\]
\[ = (x + b)(x - 2a)\] [Taking (x - 2a) as the common factor]
\[ = (x - 2a)(x + b)\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expressions:
2ax + bx + 2ay + by
Factorize each of the following expressions:
ab − by − ay + y2
Factorize each of the following expressions:
x3 − y2 + x − x2y2
Factorize each of the following expressions:
x3 − 2x2y + 3xy2 − 6y3
Factorize each of the following expression:
abx2 + (ay − b) x − y
Factorize each of the following expression:
(ax + by)2 + (bx − ay)2
Factorize each of the following expression:
a(a − 2b − c) + 2bc
Factorize each of the following expression:
x2 − 11xy − x + 11y
Factorize each of the following expression:
ab − a − b + 1
Factorise the following by taking out the common factor
6xy – 4y2 + 12xy – 2yzx
