Advertisements
Advertisements
प्रश्न
Expand (2a + 5)3
योग
Advertisements
उत्तर
(2a + 5)3
Comparing (2a + 5)3 with (a + b)3 we have a = 2a, b = 5
(a + b)3 = a3 + 3a2b + 3ab2 + b3
= (2a)3 + 3(2a)25 + 3(2a)52 + 53
= 23a3 + 3(22a2)5 + 6a(25) + 125
= 8a3 + 60a2 + 150a + 125
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Algebra - Exercise 3.3 [पृष्ठ ९१]
APPEARS IN
संबंधित प्रश्न
Expand.
(52)3
Expand.
`(x + 1/x)^3`
If `a + 1/a` = p and a ≠ 0; then show that:
`a^3 + 1/a^3 = p(p^2 - 3)`
If a ≠ 0 and `a - 1/a` = 4 ; find : `( a^4 + 1/a^4 )`
Find the cube of: `(2"m")/(3"n") + (3"n")/(2"m")`
If `5x + (1)/(5x) = 7`; find the value of `125x^3 + (1)/(125x^3)`.
If `x + (1)/x = 5`, find the value of `x^2 + (1)/x^2, x^3 + (1)/x^3` and `x^4 + (1)/x^4`.
If `"r" - (1)/"r" = 4`; find : `"r"^3 - (1)/"r"^3`
If 2a - 3b = 10 and ab = 16; find the value of 8a3 - 27b3.
If `x^2 + 1/x^2` = 23, then find the value of `x + 1/x` and `x^3 + 1/x^3`
