Factor 5c^2+30c+45

Factor ${\displaystyle 5}$ out of ${\displaystyle 5c^2}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 30c}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 45}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 5c^2+5\left(6c\right)}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 5(c^2+6c)+5\cdot 9}$.

Rewrite ${\displaystyle 9}$ as ${\displaystyle 3^2}$.

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

Rewrite the polynomial.

Factor using the perfect square trinomial rule ${\displaystyle a^2+2ab+b^2={(a+b)}^2}$, where ${\displaystyle a=c}$ and ${\displaystyle b=3}$.