Advertisements
Advertisements
Question
Find the cube of: 2a - 5b
Sum
Advertisements
Solution
Using (a - b)3
= a3 - b3 - 3ab (a - b)
(2a - 5b)
= (2a)3 - (5b)3 - 3(2a) (5b) (2a - 5b)
= 8a3 - 125b3 - 30ab (2a - 5b)
= 8a3 - 125b3 - 60a2b + 150ab2.
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
If a + 2b + c = 0; then show that: a3 + 8b3 + c3 = 6abc.
Use property to evaluate : 383 + (-26)3 + (-12)3
The sum of two numbers is 9 and their product is 20. Find the sum of their (i) Squares (ii) Cubes.
Expand : (3x - 5y - 2z) (3x - 5y + 2z)
If a ≠ 0 and `a - 1/a` = 4 ; find : `( a^3 - 1/a^3 )`
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a"^3 + (1)/"a"^3`
If x3 + y3 = 9 and x + y = 3, find xy.
If a + b = 5 and ab = 2, find a3 + b3.
Find 27a3 + 64b3, if 3a + 4b = 10 and ab = 2
Find the volume of the cube whose side is (x + 1) cm
