Question 65

The cube of 105 is

Solution

Expression : $$(105)^3 = (100+5)^3$$

Using, $$(a+b)^3 = a^3+b^3+3ab(a+b)$$

= $$(100)^3+(5)^3+(3.100.5)(100+5)$$

= $$1000000+125+(1500 \times 105)$$

= $$1000000+125+157500=1157625$$

=> Ans - (A)


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