Advertisements
Advertisements
प्रश्न
Find the square of `5-x+2/x`
Advertisements
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`
APPEARS IN
संबंधित प्रश्न
Write the place value of the underlined digit.
78,95,210
Write the place name and place value of digit in the following number.
35,705
The expanded form of the number is given. Write the number.
20,00,000 + 3,00,000 + 60,000 + 9000 + 500 + 10 + 7
Write the following numbers in standard notation.
200000 + 7000 + 7
Write the following numbers in expanded from.
1,45,70,004
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:
74836
Write in expanded form:
8907010
