Question

algebra: concepts and connections - plc multiplying and dividing rational expressions what is the product? \\(\frac{a^2}{5}(10)\\) options: \\(\frac{a^2}{5}\\), \\(2a^2\\), \\(5a^2\\), \\(\frac{a^2}{2}\\)

Explanation:

Step1: Rewrite 10 as a fraction

$10 = \frac{10}{1}$

Step2: Multiply numerators and denominators

$\frac{a^2}{5} \times \frac{10}{1} = \frac{a^2 \times 10}{5 \times 1}$

Step3: Simplify the fraction

$\frac{10a^2}{5} = 2a^2$

Answer:

$2a^2$