Advertisements
Advertisements
प्रश्न
Factorize 8x3 + 27 y3 + 36x2 y + 54xy2
Advertisements
उत्तर
8x3 + 27 y3 + 36x2 y + 54xy2
= (2x)3 + (3y)3 + 3 × (2x)2 × 3y + 3 × (2x)(3y )2
= (2x + 3y )3 [∵ a3 + b3 + 3a2b + 3ab2 = (a + b)3]
= (2x + 3y )(2x + 3y )(2x + 3y )
∴ 8x3 + 27 y3 + 36x2 y + 54xy2 = (2x + 3y )(2x + 3y )(2x + 3y )
APPEARS IN
संबंधित प्रश्न
Factorize `x^2 - sqrt3x - 6`
Factorize the following expressions:
1029 – 3x3
`2sqrt2a^3 + 3sqrt3b^3 + c^3 - 3 sqrt6abc`
The value of \[\frac{(0 . 013 )^3 + (0 . 007 )^3}{(0 . 013 )^2 - 0 . 013 \times 0 . 007 + (0 . 007 )^2}\] is
Divide: 4x3 - 2x2 by - x
Divide: 2m3n5 by - mn
Express the following as an algebraic expression:
Sum of p and 2r – s minus sum of a and 3n + 4x.
The simplest form of 5 ÷ `(3/2) - 1/3` is ______.
If Rohit has 5xy toffees and Shantanu has 20yx toffees, then Shantanu has ______ more toffees.
The total number of planets of Sun can be denoted by the variable n.
