Evaluate
\[ (10.4)^3 \]
Solution:
Using identity:
\[ (a+b)^3 = a^3+b^3+3ab(a+b) \]
\[ (10.4)^3 = (10+0.4)^3 \]
\[ = (10)^3+(0.4)^3+3(10)(0.4)(10+0.4) \]
\[ = 1000+0.064+12(10.4) \]
\[ = 1000+0.064+124.8 \]
\[ = 1124.864 \]
\[ (10.4)^3 \]
Using identity:
\[ (a+b)^3 = a^3+b^3+3ab(a+b) \]
\[ (10.4)^3 = (10+0.4)^3 \]
\[ = (10)^3+(0.4)^3+3(10)(0.4)(10+0.4) \]
\[ = 1000+0.064+12(10.4) \]
\[ = 1000+0.064+124.8 \]
\[ = 1124.864 \]