Question

guided practice
type the numerator in the top blank and the denominator in the bottom blank. then click or tap done.
simplify: (\frac{2x + 10}{x^2 + 10x + 25})

Explanation:

Step1: Factor numerator and denominator

Factor numerator: \(2x + 10 = 2(x + 5)\)
Factor denominator: \(x^2 + 10x + 25 = (x + 5)^2\)
So the fraction becomes \(\frac{2(x + 5)}{(x + 5)^2}\)

Step2: Cancel common factors

Cancel \((x + 5)\) from numerator and denominator:
\(\frac{2\cancel{(x + 5)}}{\cancel{(x + 5)}(x + 5)} = \frac{2}{x + 5}\)

Answer:

\(\frac{2}{x + 5}\)