Advertisements
Advertisements
Question
Factorize each of the following expressions:
x3 − y2 + x − x2y2
Advertisements
Solution
\[x^3 - y^2 + x - x^2 y^2 \]
\[ = ( x^3 + x) - ( x^2 y^2 + y^2 )\] [Regrouping the expressions]
\[ = x( x^2 + 1) - y^2 ( x^2 + 1)\]
\[ = (x - y^2 )( x^2 + 1)\] [Taking ( x^2 + 1) as the common factor]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expressions:
ax + ay − bx − by
Factorize each of the following expressions:
ab − by − ay + y2
Factorize each of the following expressions:
axy + bcxy − az − bcz
Factorize each of the following expressions:
lm2 − mn2 − lm + n2
Factorize each of the following expressions:
6xy + 6 − 9y − 4x
Factorize each of the following expressions:
x2 − 2ax − 2ab + bx
Factorize each of the following expression:
(ax + by)2 + (bx − ay)2
Factorize each of the following expression:
16(a − b)3 − 24 (a − b)2
Factorize each of the following expression:
ab − a − b + 1
Factorize each of the following expression:
x2 + y − xy − x
