Advertisements
Advertisements
प्रश्न
Expand (104)3
बेरीज
उत्तर
(104)3 = (100 + 4)3
Comparing (100 + 4)3 with (a + b)3 we have a = 100 and b = 4
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(100 + 4)3 = (100)3 + 3(100)2(4) + 3(100)(4)2 + 43
= 10,00,000 + 3(10000)4 + 300(16) + 64
= 10,00,000 + 1,20,000 + 4,800 + 64
= 11,24,864
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Expand.
`((5x)/y + y/(5x))^3`
Find the cube of : 5a + 3b
If `( a + 1/a )^2 = 3 "and a ≠ 0; then show:" a^3 + 1/a^3 = 0`.
If a ≠ 0 and `a - 1/a` = 4 ; find : `( a^4 + 1/a^4 )`
If `x^2 + (1)/x^2 = 18`; find : `x^3 - (1)/x^3`
If `("a" + 1/"a")^2 = 3`; then show that `"a"^3 + (1)/"a"^3 = 0`
If a + b = 5 and ab = 2, find a3 + b3.
If p - q = -1 and pq = -12, find p3 - q3
Expand: `((2m)/n + n/(2m))^3`.
(p + q)(p2 – pq + q2) is equal to _____________
