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 = $$\ \frac{(1.1)^{3}+(0.7)^{3}}{(1.1)^{2}-1.1\times0.7+(0.7)^{2}}$$

Let $$x=1.1$$ and $$y=0.7$$

= $$\frac{x^3+y^3}{x^2-xy+y^2}$$

= $$\frac{(x+y)(x^2-xy+y^2)}{x^2-xy+y^2}$$

= $$x+y=1.1+0.7=1.8$$

=> Ans - (D)

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