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प्रश्न
From the sum of 4 + 3x and 5 - 4x + 2x2, subtract the sum of 3x2 - 5x and -x2 + 2x + 5.
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उत्तर
(4 + 3x) + (5 - 4x + 2x2) = 4 + 3x + 5 - 4x + 2x2
= 3x - 4x + 2x2 + 4 + 5
= -x + 2x2 + 9
(3x2 - 5x) + (- x2 + 2x + 5) = 3x2 - 5x - x2 + 2x + 5
= 3x2 - x2 - 5x + 2x + 5
= 2x2 - 3x + 5
(-x + 2x2 + 9) - (2x2 - 3x + 5)
= -x + 2x2 + 9 - 2x2 + 3x - 5
= -x + 3x + 2x2 - 2x2 + 9 - 5
= 2x + 4
संबंधित प्रश्न
Add the following:
2p2q2 − 3pq + 4, 5 + 7pq − 3p2q2
Simplify combining like terms: p − (p − q) − q − (q − p)
Subtract: a (b - 5) from b (5 - a)
Subtract:
\[\frac{3}{2}x - \frac{5}{4}y - \frac{7}{2}z \text { from }\frac{2}{3}x + \frac{3}{2}y - \frac{4}{3}z\]
Add: 8x, 3x
Add: −9y, 11y, 2y
Add:
3a(a – b + c), 2b(a – b + c)
Add the following expressions:
p2 – 7pq – q2 and –3p2 – 2pq + 7q2
Add the following expressions:
ab + bc + ca and – bc – ca – ab
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 |
