Advertisements
Advertisements
प्रश्न
a3 + 8b3 + 64c3 - 24abc
Advertisements
उत्तर
a3 + 8b3 + 64c3 - 24abc
= (a)3 + (2b)3 + (4c)3 - 3 × a × 2b × 4c
= (a + 2b + 4c)(a2 + (2b)2 + (4c)2 - a × 2b - 2b × 4c - 4c × a) [∵ a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)]
= (a + 2b + 4c)(a2 + 4b2 +16c2 - 2ab - 8bc - 4ac)
∴ a3 + 8b3 + 64c3 - 24abc = (a + 2b + 4c)(a2 + 4b2 +16c2 - 2ab - 8bc - 4ac)
APPEARS IN
संबंधित प्रश्न
Factorize: a (a + b)3 - 3a2b (a + b)
Factorize `[x^2 + 1/x^2] - 4[x + 1/x] + 6`
Factorize 8x3 + 27 y3 + 36x2 y + 54xy2
What must be added to the following expression to make it a whole square?
4x2 − 20x + 20
Divide: 25x2y by - 5y2
Divide: 4a2 - a by - a
Divide: m2 − 2mn + n2 by m − n
The largest number of the three consecutive numbers is x + 1, then the smallest number is ________
If x = 2 and y = 3, then find the value of the following expressions
2x – 3y
In the formula, area of circle = πr2, the numerical constant of the expression πr2 is ______.
