Question
Evaluate: $(104)^3$ using a suitable identity.
✓
Answer
$(104)^3=(100+4)^3$
Using identity $(x+y)^3=x^3+3 x y(x+y)+y^3$
We get,
$(100+4)^3=(100)^3+3 \times 100 \times 4(100+4)+4^3$
$=10,00000+1,200 \times 104+64$
$=10,00,000+1,24,800+64$
$=11,24,864$
Using identity $(x+y)^3=x^3+3 x y(x+y)+y^3$
We get,
$(100+4)^3=(100)^3+3 \times 100 \times 4(100+4)+4^3$
$=10,00000+1,200 \times 104+64$
$=10,00,000+1,24,800+64$
$=11,24,864$
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