Advertisements
Advertisements
Question
Expand (3 + m)3
Sum
Advertisements
Solution
(3 + m)3
Comparing (3 + m)3 with (a + b)3 we have a = 3, b = m
(a + b)3 = a2 + 3a2b + 3ab2 + b3
(3 + m)3 = 33 + 3(3)2(m) + 3(3)m2 + m3
= 27 + 27m + 9m2 + m3
= m3 + 9m2 + 27m + 27
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the cube of : 3a- 2b
Find the cube of : 5a + 3b
If `a^2 + 1/a^2` = 18; a ≠ 0 find :
(i) `a - 1/a`
(ii) `a^3 - 1/a^3`
Two positive numbers x and y are such that x > y. If the difference of these numbers is 5 and their product is 24, find:
- Sum of these numbers
- Difference of their cubes
- Sum of their cubes.
If 2x - 3y = 10 and xy = 16; find the value of 8x3 - 27y3.
Find the cube of: `"a" - (1)/"a" + "b"`
If `"p" + (1)/"p" = 6`; find : `"p"^3 + (1)/"p"^3`
Simplify:
(a + b)3 + (a - b)3
If `x^2 + 1/x^2` = 23, then find the value of `x + 1/x` and `x^3 + 1/x^3`
Expand (3p + 4q)3
