Question

Use identity ( − )
3
to evaluate (95)3

Answer 1

Solution

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(98)

3

(100−2)

3

∴(a−b)

3

=a

3

−b

3

−3a

2

b+3ab

2

(100−2)

3

=(100)

3

−(2)

3

−3×(100)

2

×2+3×100×2

2

=1000000−3−60000+1200

=941192.