Advertisements
Advertisements
Question
Find the cube of : 5a + 3b
Sum
Solution
( a + b )3 = a3 + 3ab( a + b ) + b3
( 5a + 3b)3 = (5a)3 + 3 x 5a x 3b( 5a + 3b) + (3b)3
= 125a3 + 45ab( 5a + 3b ) + 27b3
= 125a3 + 225a2b + 135ab2 + 27b3
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Expand.
(7x + 8y)3
Expand.
(7 + m)3
If a2 + `1/a^2 = 47` and a ≠ 0 find :
- `a + 1/a`
- `a^3 + 1/a^3`
If `( a + 1/a )^2 = 3 "and a ≠ 0; then show:" a^3 + 1/a^3 = 0`.
Expand : (3x + 5y + 2z) (3x - 5y + 2z)
If a + b = 5 and ab = 2, find a3 + b3.
If m - n = -2 and m3 - n3 = -26, find mn.
Evaluate the following :
(5.45)3 + (3.55)3
Expand: (3x + 4y)3.
Expand: `((2m)/n + n/(2m))^3`.
