A) 0.2
B) 0.25
C) 0.3
D) 0.8
Correct Answer: D
Solution :
Expression \[=\frac{{{(0.5)}^{3}}+{{(0.3)}^{3}}}{{{(0.5)}^{2}}-0.5\times 0.3+{{(0.3)}^{2}}}\] Let 0.5 = a and 0.3 =b \[\therefore \] Expression \[=\frac{{{a}^{3}}+{{b}^{3}}}{{{a}^{2}}-ab+{{b}^{2}}}\] \[=\frac{(a+b)({{a}^{2}}-ab+{{b}^{2}})}{{{a}^{2}}-ab+{{b}^{2}}}\] \[=a+b=0.5+0.3=0.8\]
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