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Question 102
What is the value of $$\ \frac{(1.1)^{3}+(0.7)^{3}}{(1.1)^{2}-1.1\times0.7+(0.7)^{2}}$$?
Solution
Expression =Â $$\ \frac{(1.1)^{3}+(0.7)^{3}}{(1.1)^{2}-1.1\times0.7+(0.7)^{2}}$$
Let $$x=1.1$$ and $$y=0.7$$
= $$\frac{x^3+y^3}{x^2-xy+y^2}$$
=Â $$\frac{(x+y)(x^2-xy+y^2)}{x^2-xy+y^2}$$
= $$x+y=1.1+0.7=1.8$$
=> Ans - (D)
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