Advertisements
Advertisements
प्रश्न
8x3 + 27y3 - 216z3 + 108xyz
Advertisements
उत्तर
= (2x)3 + (3y )3 + (-6z )3 - 3(2x)(3y )(-6z )
= (2x + 3y + (-6z ))((2x)2 + (3y )2 + (-6z )2 - 2x × 3y - 3y (-6z ) - (-6z )2x)
= (2x + 3y - 6z )(4x2 + 9 y2 + 36z2 - 6xy +18 yz +12zx)
∴ 8x3 + 27 y3 - 216z3 +108xyz = (2x + 3y - 6z )(4x2 + 9 y2 + 36z2 - 6xy +18 yz +12zx)
APPEARS IN
संबंधित प्रश्न
`2sqrt2a^3 + 16sqrt2b^3 + c^3 - 12abc`
If \[x^2 + \frac{1}{x^2} = 18,\] find the values of \[x + \frac{1}{x} \text { and } x - \frac{1}{x} .\]
If 3x + 5y = 11 and xy = 2, find the value of 9x2 + 25y2
What must be added to the following expression to make it a whole square?
4x2 − 12x + 7
Divide: 6x3 + 5x2 − 21x + 10 by 3x − 2
Write in the form of an algebraic expression:
Surface area of a cube is six times the square of its edge.
When y = –1, the value of the expression 2y – 1 is 3
If x = 2 and y = 3, then find the value of the following expressions
x + 1 – y
The value of 3x2 – 5x + 3 when x = 1 is ______.
Rohan’s mother gave him ₹ 3xy2 and his father gave him ₹ 5(xy2 + 2). Out of this total money he spent ₹ (10 – 3xy2) on his birthday party. How much money is left with him?
