Simplify.
$$
\frac{(7.3)^3 - (4.7)^3}{(7.3)^2 + 7.3 imes 4.7 + (4.7)^2}
$$

Question

Simplify.
$$
\frac{(7.3)^3 - (4.7)^3}{(7.3)^2 + 7.3 	imes 4.7 + (4.7)^2}
$$

Accepted Answer

Let $$ a = 7.3 $$ and $$ b = 4.7 $$.

The numerator is $$ a^3 - b^3 $$.  
The denominator is $$ a^2 + ab + b^2 $$.

Recall the identity:
$$
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
$$

So,
$$
\frac{a^3 - b^3}{a^2 + ab + b^2} = a - b
$$

Substitute the values:
$$
a - b = 7.3 - 4.7 = 2.6
$$

**Thus, the answer is 2.6.**

Answer

Answer

Answer