Question

What is the value of $\frac{(2.3{)}^3-0.037}{(2.3{)}^2+0.69+0.09}$?

• A. $0.3$
• B. $2.3$
• C. $1$
• D. $2$

Answer 1

The correct option is D $2$

$\frac{(2.3{)}^3-(0.3{)}^3}{(2.3{)}^2+(2.3\left)\right(.3)+(.3{)}^2}$
$=\frac{2.3-0.3\left)\right[(2.3{)}^2+2.3\times .3+(.3{)}^2]}{\left[\right(2.3{)}^2+2.3\times .3+\left(.3{)}^2\right]}$
$[a^3-b^3=(a-b\left)\right(a^2+ab+b^2\left)\right]$
$=2.3-.3=2$