Question 55

Simplify the equation $$\frac{(0.73)^3+(0.27)^3}{(0.73)^2+(0.27)^2-(0.73)\times(0.27)}$$

Solution

Expression : $$\frac{(0.73)^3+(0.27)^3}{(0.73)^2+(0.27)^2-(0.73)\times(0.27)}$$

Let $$x=0.73$$ and $$y=0.27$$

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

Multiplying both numerator and denominator by $$(x+y)$$

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

Using, $$(x^3+y^3)=(x+y)(x^2+y^2-xy)$$

= $$\frac{(x+y)(x^3+y^3)}{x^3+y^3}=(x+y)$$

= $$0.73+0.27=1$$

=> Ans - (A)

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