Evaluate

Question:

Evaluate

(i) $(103)^{3}$

(ii) $(99)^{3}$

 

Solution:

(i) $(103)^{3}=(100+3)^{3}$

$=(100)^{3}+(3)^{3}+3(100)^{2}(3)+3(100)(3)^{2}$

$=1000000+27+90000+2700$

$=1092727$

(ii) $(99)^{3}=(100-1)^{3}$

$=(100)^{3}-(1)^{3}-3(100)^{2}(1)+3(100)(1)^{2}$

$=1000000-1-30000+300$

$=1000300-30001$

$=970299$

Leave a comment