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प्रश्न
Find the square of `5-x+2/x`
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उत्तर
`5-x+2/x`
(x + y + z) 2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
`x=5, y=-x, z= 2/x`
Apply the formula
`(5-x+2/x)^2 = (5)^2 + (-x)^2+(2/x)^2 + 2(5)(-x)+2(-x)(2/x) +2(5) (2/x)`
Simplify each term
- (5)2 = 25
- (−x)2 = x2
- `(2/x)^2=4/x^2`
- 2(5)(−x) = −10x
- 2(−x) `(2/x) = 2 xx -1xx2=-4`
- `2(5) (2/x)=20/x`
Combine all terms
`(5-x+2/x)^2 = 25+x^2+4/x^2-10x-4+20/x`
Combine like terms
`x^2 + 25-4-10x+20/x+4/x^2`
`x^2+21-10x+20/x+4/x^2`
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संबंधित प्रश्न
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(208)2
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78,95,210
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35,705
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82,74,508
Represent given values in Abacus.
Write the number name of the following numbers represented in the Abacus
Find the face value and place value of the digits coloured in the given numbers.
1379
Complete the given table.
| Number | Expanded Form | |
| a | 6785 | |
| b | 4000 + 200 + 90 + 6 | |
| c | 3000 + 300 + 20 + 7 | |
| d | 9999 | |
| e | 5000 + 70 + 1 | |
| f | 2934 |
Write in expanded form:
8907010
