The value of (0.03)3 – (0.02)3 is

A.
0.019 
B.
0.0019 
C.
0.00019 
D.
0.000019 
E.
0.000035
Correct Answer: Option D
Explanation
Using the method of difference of two cubes,
(a^{3} – b^{3} = (a – b)(a^{2} + ab + b^{2}))
((0.03)^{3} – (0.02)^{3} = (0.03 – 0.02)((0.03)^{2} + (0.03)(0.02) + (0.02)^{2})
= ((0.01)(0.0009 + 0.0006 + 0.0004))
= (0.01 times 0.0019)
= (0.000019)