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What should be added to 3pq + 5p²q² + p³ to get p³ + 2p²q² + 4pq
Solution:
We have to add suitable terms to the given expression 3pq + 5p²q² + p³ to get p³ + 2p²q² + 4pq.
Let the term to be added be M.
Now, 3pq + 5p²q² + p³ + M = p³ + 2p²q² + 4pq
By combining like terms,
M = p³ + 2p²q² + 4pq - (3pq + 5p²q² + p³)
M = p³ + 2p²q² + 4pq - 3pq - 5p²q² - p³
M = p³ - p³ + 2p²q² - 5p²q² + 4pq - 3pq
M = (1 - 1)p³ + (2 - 5)p²q² + (4 - 3)pq
M = (0)p³ + (-3)p²q² + (1)pq
Therefore, M = -3p²q² + pq
✦ Try This: What should be added to 5pq + 7p²q² + 2p³ to get 3p³ + 3p²q² + 2pq
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 59 (b)
What should be added to 3pq + 5p²q² + p³ to get p³ + 2p²q² + 4pq
Summary:
-3p²q² + pq should be added to 3pq + 5p²q² + p³ to get p³ + 2p²q² + 4pq
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