How do you simplify $\frac{x^{2} + 2 x}{5 x + 10}$ $(x^2 + 2x)/(5x+10)$ ?

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Answer 1 · 2015-05-30T15:39:51

We can factor out of numerator and denominator what's multiplying both terms on each part of the fraction:

$\frac{x (x + 2)}{5 (x + 2)}$ $(x(x+2))/(5(x+2))$

Now, we can cancel what's both on numerator and denominator, as when a number/equation divides itself, the result is $1$ $1$ .

$(xcancel((x+2)))/(5cancel((x+2)))=color(Green)(x/5)$

How do you simplify (x^2 + 2x)/(5x+10)x2+2x5x+10(x^2 + 2x)/(5x+10)?