Question
Using suitable identity $,$ evaluate $(97)^3$
✓
Answer
$(97)^3= (100 - 3)^3$
$= (100)^3- (3)^3- 3 \times 100 \times 3(100 - 3)$
$= 1000000 - 27 - 900 \times 97$
$= 1000000 - 27 - 87300$
$= 912673$
$= (100)^3- (3)^3- 3 \times 100 \times 3(100 - 3)$
$= 1000000 - 27 - 900 \times 97$
$= 1000000 - 27 - 87300$
$= 912673$
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