Question

1. \\(\frac{1}{a - 5}\\), \\(\frac{10a - 40}{a - 4}\\)

Explanation:

Assuming the problem is to multiply the two rational expressions $\frac{1}{a - 5}$ and $\frac{10a - 40}{a - 4}$.

Step 1: Factor the numerator of the second fraction

Factor out 10 from $10a - 40$: $10a - 40 = 10(a - 4)$
So the second fraction becomes $\frac{10(a - 4)}{a - 4}$

Step 2: Multiply the two fractions

Multiply the numerators and denominators: $\frac{1\times10(a - 4)}{(a - 5)\times(a - 4)}$

Step 3: Simplify the fraction

Cancel out the common factor $(a - 4)$ (assuming $a
eq4$): $\frac{10}{a - 5}$

Answer:

$\frac{10}{a - 5}$ (with the restriction $a
eq4$ and $a
eq5$)