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Question
Subtract the second expression from the first:
−2b + 2c, b + 3c
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Solution 1
(−2b + 2c) + (b + 3c)
= −2b + 2c − b − 3c
= −2b − b + 2c − 3c
= −3b − c
Solution 2
Write the subtraction
(−2b + 2c) − (b + 3c)
Distribute the − across the second expression:
−2b + 2c − b − 3c
Combine the b-terms: −2b − b = −3b
Combine the c-terms: 2c − 3c = −c
Write the result −3b − c
−3b − c
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Observe the following nutritional chart carefully:
| Food Item (Per Unit = 100g) | Carbohydrates |
| Rajma | 60g |
| Cabbage | 5g |
| Potato | 22g |
| Carrot | 11g |
| Tomato | 4g |
| Apples | 14g |
Write an algebraic expression for the amount of carbohydrates (in grams) for y units of potatoes and 2 units of rajma.
