If P(m)=m3 + 2m2 − m + 10 then P(a) + P(-a) = ?
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Answer:
Given that,
P(m)=m
3
+2m
2
−m+10
P(a)+P(−a)=[a
3
+2a
2
−a+10]+[(−a)
3
+2(−a)
2
−(−a)+10]
=a
3
+2a
2
−a+10+[−a
3
+2a
2
+a+10]
=a
3
+2a
2
−a+10−a
3
+2a
2
+a+10
=4a
2
+20
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