Q.22. What should be added to 3pq + 5p*q* + p' to get på +2pq? + 4pq?
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Answer:
Let the polynomial to be added be M
According to question,
3pq+5p
2
q
2
+p
3
+M=p
3
+2p
2
q
2
+4pq
⇒M=(p
3
+2p
2
q
2
+4pq)−(3pq+5p
2
q
2
+p
3
)
⇒M=p
3
+2p
2
q
2
+4pq−3pq−5p
2
q
2
−p
3
Collecting like terms,
⇒M=p
3
−p
3
+2p
2
q
2
−5p
2
q
2
+4pq−3pq
⇒M=−3p
2
q
2
+pq
Step-by-step explanation:
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