Ifp= 2, q=1 and r= 3, find the value of i) p2+q2 + r2 ii) 2p2 - q2 + 3r2 iii) p-q-r iv) p3+q3+r3+3pqr v) 3p2q+ 5pq2+ 2pqr vi) p4 + q4- r4
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Answer:
Substituting p=−2,q=−1 and r=3 in the given expression, we get
2p
2
−q
2
+3r
2
=2(−2)
2
−(−1)
2
+3(3)
2
=2(−2×−2)–(−1×−1)+3(3×3)
=2(4)–(1)+3(9)
=8–1+27
=7+27
=34
∴2p
2
−q
2
+3r
2
=34
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