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प्रश्न
What should be added to x3 + 3x2y + 3xy2 + y3 to get x3 + y3?
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उत्तर
In order to find the solution subtract x3 + 3x2y + 3xy2 + y3 from x3 + y3
Required expression is x3 + y3 – (x3 + 3x2y + 3xy2 + y3) = x3 + y3 – x3 – 3x2y – 3xy2 – y3
On combining the like terms,
= x3 – x3 + y3 – y3 – 3x2y – 3xy2
= –3x2y – 3xy2
So, if we add –3x2y – 3xy2 in x3 + 3x2y + 3xy2 + y3, we get x3 + y3.
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संबंधित प्रश्न
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Sum of x and y is x + y.
At age of 2 years, a cat or a dog is considered 24 “human” years old. Each year, after age 2 is equivalent to 4 “human” years. Fill in the expression [24 +
(a – 2)] so that it represents the age of a cat or dog in human years. Also, you need to determine for what ‘a’ stands for. Copy the chart and use your expression to complete it.
| Age | [24 + (a – 2)] |
Age (Human Years) |
| 2 | ||
| 3 | ||
| 4 | ||
| 5 | ||
| 6 |
(a – 2)] 