What is (5x^2+30x)/(x^2+8x+12) ?

The solution to (5x^2+30x)/(x^2+8x+12) is (5x)/(x+2)

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simplify (5x^2+30x)/(x^2+8x+12)

simplify

\frac{5 x ^{2} + 30 x}{x ^{2} + 8 x + 12}

\frac{5 x}{x + 2}

Solution steps

\frac{5 x ^{2} + 30 x}{x ^{2} + 8 x + 12}

Factor

5 x^{2} + 30 x : 5 x (x + 6)

= \frac{5 x ( x + 6 )}{x ^{2} + 8 x + 12}

Factor

x^{2} + 8 x + 12 : (x + 2) (x + 6)

= \frac{5 x ( x + 6 )}{( x + 2 ) ( x + 6 )}

Cancel the common factor:

x + 6

= \frac{5 x}{x + 2}

(- 3 x^{2} y^{3} + 2 x y^{2})^{2}

\frac{4}{5} n - 3 + \frac{7}{10} n

- 5.9 g - (- 10 h + 2.7)

i (2 + i)

\frac{sec ^{2} ( x ) - 1}{sec ( x ) - 1}

What is (5x^2+30x)/(x^2+8x+12) ?
The solution to (5x^2+30x)/(x^2+8x+12) is (5x)/(x+2)