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Question
Subtract 4p2q − 3pq + 5pq2 − 8p + 7q − 10 from 18 − 3p − 11q + 5pq − 2pq2 + 5p2q
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Solution
The given expressions are in separate rows, with like terms one below the other, and then the subtraction of these expressions is as follows:
5p2q – 2pq2 + 5pq – 11q – 3p + 18
4p2q + 5pq2 – 3pq + 7q – 8p – 10
(–) (–) (+) (–) (+) (+)
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p2q – 7pq2 + 8pq – 18q + 5p + 28
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\[\frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c, \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c, \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c\]
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\[\frac{3}{2}x - \frac{5}{4}y - \frac{7}{2}z \text { from }\frac{2}{3}x + \frac{3}{2}y - \frac{4}{3}z\]
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= 2x2 + 3y, 
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