Question
Using suitable identity $,$ evaluate $(104)^3$
✓
Answer
Using identity$: (a ± b)^3= a^3± b^3± 3ab(a ± b)$
$(104)^3= (100 + 4)^3$
$= (100)^3+ (4)^3+ 3 \times 100 \times 4(100 + 4)$
$= 1000000 + 64 + 1200 \times 104$
$= 1000000 + 64 + 124800$
$= 1124864$
$(104)^3= (100 + 4)^3$
$= (100)^3+ (4)^3+ 3 \times 100 \times 4(100 + 4)$
$= 1000000 + 64 + 1200 \times 104$
$= 1000000 + 64 + 124800$
$= 1124864$
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