Factor 5d^2+50d+125

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

Factor ${\displaystyle 5}$ out of ${\displaystyle 50d}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 125}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 5d^2+5\left(10d\right)}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 5(d^2+10d)+5\cdot 25}$.

Rewrite ${\displaystyle 25}$ as ${\displaystyle 5^2}$.

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 ${\displaystyle a=d}$ and ${\displaystyle b=5}$.