Advertisements
Advertisements
Question
Factorize each of the following expression:
x2 + y − xy − x
Solution
\[x^2 + y - xy - x = ( x^2 - xy) + (y - x)\] [Regrouping the expressions]
\[ = x(x - y) + (y - x)\]
\[ = x(x - y) - (x - y) [ \because (y - x) = - (x - y)]\]
\[ = (x - 1)(x - y)\] [Taking (x - y) as the common expression]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expressions:
xa2 + xb2 − ya2 − yb2
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:
x2 − 2ax − 2ab + bx
Factorize each of the following expressions:
x3 − 2x2y + 3xy2 − 6y3
Factorize each of the following expression:
(ax + by)2 + (bx − ay)2
Factorize each of the following expression:
ab(x2 + 1) + x(a2 + b2)
Factorize each of the following expression:
a(a − 2b − c) + 2bc
Factorize each of the following expression:
x2 − 11xy − x + 11y
