What is (x^2+5x+4)/(x^2+2x+1)*(2x+2)/(x+4) ?

The solution to (x^2+5x+4)/(x^2+2x+1)*(2x+2)/(x+4) is 2

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simplify (x^2+5x+4)/(x^2+2x+1)*(2x+2)/(x+4)

simplify

\frac{x ^{2} + 5 x + 4}{x ^{2} + 2 x + 1} \cdot \frac{2 x + 2}{x + 4}

2

Solution steps

\frac{x ^{2} + 5 x + 4}{x ^{2} + 2 x + 1} \cdot \frac{2 x + 2}{x + 4}

Cancel

\frac{x ^{2} + 5 x + 4}{x ^{2} + 2 x + 1} : \frac{x + 4}{x + 1}

= \frac{x + 4}{x + 1} \cdot \frac{2 x + 2}{x + 4}

Cross-cancel common factor:

x + 4

= \frac{2 x + 2}{x + 1}

Cancel

\frac{2 x + 2}{x + 1} : 2

= 2

\frac{3}{a - 1} + \frac{2}{a - 2} + \frac{1}{a}

16 0^{\frac{1}{2}}

\frac{10 v ^{3} t ^{- 5}}{( 2 v ^{2} t ^{- 2} ) ^{- 5}}

\frac{- 8}{- 3}

\frac{1}{- \frac{1}{4}}

What is (x^2+5x+4)/(x^2+2x+1)*(2x+2)/(x+4) ?
The solution to (x^2+5x+4)/(x^2+2x+1)*(2x+2)/(x+4) is 2