Advertisements
Advertisements
प्रश्न
Factorize `8/27 x^3 + 1 + 4/3 x^2 + 2x`
Advertisements
उत्तर
`= (2/3 x)^3 + (1)^3 + 3 xx (2/3 x)^2 xx 1 + 3(1)^2 xx (2/3 x)`
`= (2/3 x + 1)^3 [∵ a^3 + b^3 + 3a^2b + 3ab^2 = (a + b)^2]`
`= (2/3 x + 1)(2/3x + 1)(2/3x + 1)`
`∴ 8/27 x^3 + 1 + 4/3 x^2 + 2x = (2/3x + 1)(2/3 x + 1)(2/3x + 1)`
APPEARS IN
संबंधित प्रश्न
Factorize x( x - 2)( x - 4) + 4x - 8
Factorize (a - b + c)2 + (b - c + a)2 + 2(a - b + c) (b - c + a)
What are the possible expressions for the dimensions of the cuboid whose volume is 3x2 - 12x.
Factorize the following expressions:
`x^3/216 - 8y^3`
a3 + 8b3 + 64c3 - 24abc
Divide: 12x3y - 8x2y2 + 4x2y3 by 4xy
Divide: x2 + 4xy + 4y2 by x + 2y
Express the following as an algebraic expression:
The product of x and y divided by m.
If x = 2 and y = 3, then find the value of the following expressions
x + y
How many terms does a trinomial contain?
