Using suitable identity, evaluate the followi | vedclass

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Question

$103^{3}=(100+3)^{3}$

Now using identify $(a+b)^{3}=a^{3}+b^{3}+3 a b(a+b),$ we have

$(100+3)^{3}=(100)^{3}+(3)^{3}+3(100)(3)(100+3)$

$=10000

Vedclass · Accepted Answer

$1092727$

Vedclass · Answer

$103^{3}=(100+3)^{3}$

Now using identify $(a+b)^{3}=a^{3}+b^{3}+3 a b(a+b),$ we have

$(100+3)^{3}=(100)^{3}+(3)^{3}+3(100)(3)(100+3)$

$=1000000+27+900(100+3)$

$=1000000+27+90000+2700$

$=1092727$

Using suitable identity, evaluate the following:

$103^{3}$

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Using suitable identity, evaluate the following: $103^{3}$