How do you use the distributive property to factor 5z^2+10z?

Mar 18, 2018

$5 z \left(z + 2\right)$

Explanation:

Notice that both terms have a common factor of $5 z$

Divide both terms by $5 z$

$5 {z}^{2} + 10 z$

$= 5 z \left(z + 2\right)$

With the distributive law, the factor outside is multiplied INTO the bracket.

To factorise the HCF is divided OUT of the bracket.