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प्रश्न
Subtract the sum of 2x − x2 + 5 and − 4x − 3 + 7x2 from 5.
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उत्तर
We have to subtract the sum of (2x − x2 + 5) and (− 4x − 3 + 7x) from 5.
\[5 - \left\{ \left( 2x - x^2 + 5 \right) + \left( - 4x - 3 + 7 x^2 \right) \right\}\]
\[ = 5 - \left( 2x - 4x - x^2 + 7 x^2 + 5 - 3 \right)\]
\[ = 5 - 2x + 4x + x^2 - 7 x^2 - 5 + 3\]
\[= 5 - 5 + 3 - 2x + 4x + x^2 - 7 x^2\] (Collecting like terms)
\[= 3 + 2x - 6 x^2\] (Combining like terms)
Thus, the answer is \[3 + 2x - 6 x^2\].
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संबंधित प्रश्न
Simplify combining like terms: p − (p − q) − q − (q − p)
Add: x2 - y2 - 1 , y2 - 1 - x2, 1- x2 - y2
Subtract: 5a2 - 7ab + 5b2 from 3ab - 2a2 -2b2
What should be taken away from 3x2 - 4y2 + 5xy + 20 to obtain - x2 - y2 + 6xy + 20?
Add:
2a + 6b + 8c; 16a + 13c + 18b
Solve:
(6a − 5b − 8c) + (15b + 2a − 5c)
Add: 7mn, 5mn
Add:
9ax + 3by – cz, –5by + ax + 3cz
Add the following expressions:
t – t2 – t3 – 14; 15t3 + 13 + 9t – 8t2; 12t2 – 19 – 24t and 4t – 9t2 + 19t3
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 |
