Evaluate using identity
93³-107³
Answers
Answered by
9
Hi friend!!
Given,
93³-107³
=(100-7)³-(100+7)³
Consider,
(a-b)³-(a+b)³
=a³-3a²b+3ab²-b³-(a³+b³+3a²b+3ab²)
=-6a²b-2b³
=-2b(3a²-b²)
Let a=100,b=7
=-2(7)(3(10⁴)-49)
=-14(2951)
=-41314
I hope this will help you ;)
Given,
93³-107³
=(100-7)³-(100+7)³
Consider,
(a-b)³-(a+b)³
=a³-3a²b+3ab²-b³-(a³+b³+3a²b+3ab²)
=-6a²b-2b³
=-2b(3a²-b²)
Let a=100,b=7
=-2(7)(3(10⁴)-49)
=-14(2951)
=-41314
I hope this will help you ;)
Yuvrajkatiyar:
But answer is -420686
Answered by
4
Answer:-420686
using the identity [(a-b)³-(a+b)³]
=2(b³+3a²b)
93³ - 107³
=(100-7)³ - (100+7)³
=2{(7)³-3.(100)².7}
=2{343-210000}
=2(-210343)=
-420686
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