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
Find the square of 2x − 5y
Find the square of 3a − 2b − 5c
Evaluate using the expansion of (a + b)2 or (a – b)2 :
(415)2
Evaluate using the expansion of (a + b)2 or (a – b)2 :
(188)2
Write the place name and place value of digit in the following number.
7,82,899
Write the place value of the underlined digit.
14,95,210
The expanded form of the number is given. Write the number.
7,00,000 + 80,000 + 4000 + 500
Write the following numbers in standard notation.
200000 + 7000 + 7
Write the following numbers in expanded from.
1,45,70,004
Circle the correct one.
| a | 5 thousand + 3 hundred + 2 ones | 5320, 5302 |
| b | The place value of 5 in 3758 | 50, 500 |
| c | Three thousand six hundred and sixty | 3060, 3660 |
| d | 4000 + 600 + 90 | 4690, 4609 |
