Advertisements
Advertisements
प्रश्न
Factorize each of the following expressions:
x3 − y2 + x − x2y2
Advertisements
उत्तर
\[x^3 - y^2 + x - x^2 y^2 \]
\[ = ( x^3 + x) - ( x^2 y^2 + y^2 )\] [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
संबंधित प्रश्न
Factorize each of the following expressions:
1 + x + xy + x2y
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 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 + b − c) − bc
Factorize each of the following expression:
ab − a − b + 1
Factorise the following by taking out the common factor
6xy – 4y2 + 12xy – 2yzx
Factorise the following by taking out the common factor
a3 – 3a2 + a – 3
