Question 55

What is the simplified value of $$\frac{(2.7)^3+(1.3)^3}{(2.7)^2-2.7\times1.3+(1.3)^2}$$ ?

Solution

Expression : $$\frac{(2.7)^3+(1.3)^3}{(2.7)^2-2.7\times1.3+(1.3)^2}$$

Let $$2.7=x$$ and $$1.3=y$$

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

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

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

= $$2.7+1.3=4$$

=> Ans - (A)

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