Advertisements
Advertisements
प्रश्न
Factorize the following expressions
8x3 y3 + 27a3
Advertisements
उत्तर
= (2xy)3 + (3a)3
= (2xy + 3a)((2xy)2 - 2xy x 3a + (3a)2) [∵ a3 + b3 = (a + b)(a2 - ab + b2)]
= (2xy + 3a)(4x2y2 - 6xya + 9a2)
∴ 8x3 y3 + 27a3 = (2xy + 3a)(4x2y2 - 6xya + 9a2)
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
Factorize: x3 + x - 3x2 - 3
Factorize the following expressions:
a3 + b3 + a + b
Factorize 64a3 +125b3 + 240a2b + 300ab2
`1/27 x^3 - y^3 + 125z^3 + 5xyz`
(3x - 2 y)3 + (2 y - 4z )3 + (4z - 3x)3
What must be added to the following expression to make it a whole square?
4x2 − 12x + 7
Multiply: 9x2 + 25y2 + 15xy + 12x − 20y + 16 by 3x − 5y + 4
(x + y)3 − (x − y)3 can be factorized as
Divide: 8m - 16 by - 8
Express the following as an algebraic expression:
Sum of p and 2r – s minus sum of a and 3n + 4x.
