evaluate using suitable identities 1001 cube
Answers
Answered by
1
Answer:
1225043
Step-by-step explanation:
1)(99)
3
=(100−1)
3
=(100)
3
−3(100)(1)(100−1)−(1)
3
=1000000−29700−1
=970299
(2)(1001)
2
=(1000+1)
2
=(1000)
2
+2(1000)(1)+(1)
2
=1000000+2000+1
=1002001
(3)(105)
3
=(100+5)
3
=(100)
3
+100(5)(100+5)+5
3
=1000000+157500+125
=1157625
(4)105×108
=(100+5)(100+8)
=10000+800+500+40
11840
(5)91×106
=(100−9)(100+8)
=10000+600−900−54
=9646
(6)1073=(100+7)
3
=(100)
3
+7(100)(3)(100+7)+7
3
=1000000+224700+343
=1225043
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