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

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

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

simplify

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

\frac{4 x}{x + 4}

Solution steps

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

Factor

4 x^{2} + 4 x : 4 x (x + 1)

= \frac{4 x ( x + 1 )}{x ^{2} + 5 x + 4}

Factor

x^{2} + 5 x + 4 : (x + 1) (x + 4)

= \frac{4 x ( x + 1 )}{( x + 1 ) ( x + 4 )}

Cancel the common factor:

x + 1

= \frac{4 x}{x + 4}

(- 2 i)^{2}

(- 3)^{8}

(- 3 + 8 i) (- 3 - 8 i)

1 - \frac{9}{5}

\frac{9}{10}

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