Advertisements
Advertisements
प्रश्न
Factorize each of the following expressions:
x3 − 2x2y + 3xy2 − 6y3
Advertisements
उत्तर
\[x^3 - 2x^2 {y + 3xy}^2 - 6y^3 \]
\[ = ( x^3 - 2 x^2 y) + (3x y^2 - 6 y^3 )\] [Grouping the expressions]
\[ = x^2 (x - 2y) + 3 y^2 (x - 2y)\]
\[ = ( x^2 + 3 y^2 )(x - 2y)\] [Taking (x - 2y) as the common factor]
संबंधित प्रश्न
Factorize each of the following expressions:
1 + x + xy + x2y
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:
ab − by − ay + y2
Factorize each of the following expressions:
x3 − y2 + x − x2y2
Factorize each of the following expression:
16(a − b)3 − 24 (a − b)2
Factorize each of the following expression:
a2x2 + (ax2 + 1)x + a
Factorize each of the following expression:
a(a + b − c) − bc
Factorize each of the following expression:
x2 − 11xy − x + 11y
Factorise the following by taking out the common factor
6xy – 4y2 + 12xy – 2yzx
