Advertisements
Advertisements
Question
Factorize each of the following expressions:
1 + x + xy + x2y
Solution
\[1 + x + xy + x^2 y\]
\[ = (1 + x) + (xy + x^2 y)\] [Grouping the expressions]
\[ = (1 + x) + xy(1 + x)\]
\[ = (1 + xy)(1 + x)\] [Taking (1 + x) as the common factor]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expressions:
ax + ay − bx − by
Factorize each of the following expressions:
x2 + xy + xz + yz
Factorize each of the following expressions:
2ax + bx + 2ay + by
Factorize each of the following expressions:
axy + bcxy − az − bcz
Factorize each of the following expressions:
6xy + 6 − 9y − 4x
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:
a(a − 2b − c) + 2bc
Factorize each of the following expression:
a(a + b − c) − bc
Factorize each of the following expression:
x2 − 11xy − x + 11y
