Question

Follow along with the problem below. The Rational expressions have been divided, then factored. Your job is to remove factors equal to 1. Click the common factors in the numerator and denominator to make them disappear. When you see the final simplified answer, click submit. Divide and, if possible simplify. $\frac{x^2 + 3x + 2}{x^2 + 5x + 4} \div \frac{x^2 + 5x + 6}{x^2 + 10x + 24}$ Solution $\frac{x^2 + 3x + 2}{x^2 + 5x + 4} \cdot \frac{x^2 + 10x + 24}{x^2 + 5x + 6} = \frac{x^2 + 3x + 2}{x^2 + 5x + 4} \cdot \frac{x^2 + 10x + 24}{x^2 + 5x + 6}$ $= \frac{(x + 1)(x + 2)(x + 6)(x + 4)}{(x + 4)(x + 1)(x + 2)(x + 3)}$

          Follow along with the problem below. The Rational
expressions have been divided, then factored. Your job is
to remove factors equal to 1. Click the common factors in
the numerator and denominator to make them disappear.
When you see the final simplified answer, click submit.
Divide and, if possible simplify.
$\frac{x^2 + 3x + 2}{x^2 + 5x + 4} \div \frac{x^2 + 5x + 6}{x^2 + 10x + 24}$
Solution $\frac{x^2 + 3x + 2}{x^2 + 5x + 4} \cdot \frac{x^2 + 10x + 24}{x^2 + 5x + 6} = \frac{x^2 + 3x + 2}{x^2 + 5x + 4} \cdot \frac{x^2 + 10x + 24}{x^2 + 5x + 6}$
$= \frac{(x + 1)(x + 2)(x + 6)(x + 4)}{(x + 4)(x + 1)(x + 2)(x + 3)}$

Follow along with the problem below. The Rational
expressions have been divided, then factored. Your job is
to remove factors equal to 1. Click the common factors in
the numerator and denominator to make them disappear.
When you see the final simplified answer, click submit.
Divide and, if possible simplify.
(x^2 + 3x + 2)/(x^2 + 5x + 4)÷(x^2 + 5x + 6)/(x^2 + 10x + 24)
Solution (x^2 + 3x + 2)/(x^2 + 5x + 4)·(x^2 + 10x + 24)/(x^2 + 5x + 6) = (x^2 + 3x + 2)/(x^2 + 5x + 4)·(x^2 + 10x + 24)/(x^2 + 5x + 6)
= ((x + 1)(x + 2)(x + 6)(x + 4))/((x + 4)(x + 1)(x + 2)(x + 3))

Added by Tim L.

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