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प्रश्न
Find the cube of: 2a - 5b
योग
उत्तर
Using (a - b)3
= a3 - b3 - 3ab (a - b)
(2a - 5b)
= (2a)3 - (5b)3 - 3(2a) (5b) (2a - 5b)
= 8a3 - 125b3 - 30ab (2a - 5b)
= 8a3 - 125b3 - 60a2b + 150ab2.
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संबंधित प्रश्न
Expand.
`((5x)/y + y/(5x))^3`
Find the cube of : 3a- 2b
If a2 + `1/a^2 = 47` and a ≠ 0 find :
- `a + 1/a`
- `a^3 + 1/a^3`
If `a + 1/a` = p and a ≠ 0; then show that:
`a^3 + 1/a^3 = p(p^2 - 3)`
If a + 2b = 5; then show that : a3 + 8b3 + 30ab = 125.
If a ≠ 0 and `a - 1/a` = 3 ; find `a^2 + 1/a^2`
If a ≠ 0 and `a - 1/a` = 4 ; find : `( a^2 + 1/a^2 )`
If a + b = 5 and ab = 2, find a3 + b3.
Simplify:
(a + b)3 + (a - b)3
Expand: `[x + 1/y]^3`