Factor 45x^2+30x+5

Factor ${\displaystyle 5}$ out of ${\displaystyle 45x^2}$.

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

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

Factor ${\displaystyle 5}$ out of ${\displaystyle 5\left(9x^2\right)+5\left(6x\right)}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 5(9x^2+6x)+5\left(1\right)}$.

Rewrite ${\displaystyle 9x^2}$ as ${\displaystyle {\left(3x\right)}^2}$.

Rewrite ${\displaystyle 1}$ as ${\displaystyle 1^2}$.

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 ${\displaystyle a=3x}$ and ${\displaystyle b=1}$.