What is (10x^2+5x)/(2x^2+11x+5) ?

The solution to (10x^2+5x)/(2x^2+11x+5) is (5x)/(x+5)

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simplify (10x^2+5x)/(2x^2+11x+5)

simplify

\frac{10 x ^{2} + 5 x}{2 x ^{2} + 11 x + 5}

\frac{5 x}{x + 5}

Solution steps

\frac{10 x ^{2} + 5 x}{2 x ^{2} + 11 x + 5}

Factor

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

= \frac{5 x ( 2 x + 1 )}{2 x ^{2} + 11 x + 5}

Factor

2 x^{2} + 11 x + 5 : (2 x + 1) (x + 5)

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

Cancel the common factor:

2 x + 1

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

1 \times 2 \times 3 \times 4 \times 5 \times 6

\frac{5}{8} \times 2

(- 3) \times (- 3)

\frac{2}{4} + \frac{2}{4}

\frac{2}{5} + \frac{2}{10}

What is (10x^2+5x)/(2x^2+11x+5) ?
The solution to (10x^2+5x)/(2x^2+11x+5) is (5x)/(x+5)