Question

The value of $\frac{(2.3{)}^3-0.027}{(2.3{)}^2+0.69+0.09}$

(a) 2

(b) 3

(c) 2.327

(d) 2.273

Answer 1

The given expression is

This can be written in the form

Assumeand. Then the given expression can be rewritten as

Recall the formula for difference of two cubes

Using the above formula, the expression becomes

Note that both a and b are positive, unequal. So, neithernor any factor of it can be zero.

Therefore we can cancel the termfrom both numerator and denominator. Then the expression becomes

So, the correct choice is (a).