Advertisements
Advertisements
Question
Expand.
(k + 4)3
Sum
Solution
It is known that,
`(a+b)^3 = a^3 + 3a^2b +3ab^2 + b^3`
= (k + 4)3 = `(k)^3 + 3 xx (k)^2 xx (4) + 3 xx (k) xx (4)^2 + (4)^3`
= `(k)^3 + 12(k)^2 + 3(k)(16) + 64`
= `k^3 + 12k^2 + 48k + 64`
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Expand.
(101)3
Expand.
`(2m + 1/5)^3`
If `a^2 + 1/a^2` = 18; a ≠ 0 find :
(i) `a - 1/a`
(ii) `a^3 - 1/a^3`
Use property to evaluate : 133 + (-8)3 + (-5)3
Find the cube of: `4"p" - (1)/"p"`
If `"m"^2 + (1)/"m"^2 = 51`; find the value of `"m"^3 - (1)/"m"^3`
If `x^2 + (1)/x^2 = 18`; find : `x^3 - (1)/x^3`
If `"p" + (1)/"p" = 6`; find : `"p"^3 + (1)/"p"^3`
If a + b = 5 and ab = 2, find a3 + b3.
If `"a" + 1/"a"` = 6, then find the value of `"a"^3 + 1/"a"^3`