# Is the trinomial, x^2+10x+25, a perfect square trinomial?

Jul 22, 2015

Yes, ${x}^{2} + 10 x + 25$ is a perfect square trinomial.

#### Explanation:

${x}^{2} + 10 x + 25$

The general form for a perfect square trinomial is ${a}^{2} + 2 a b + {b}^{2}$, where $a = x \mathmr{and} b = 5$.

${\left(x\right)}^{2} + \left(2 \cdot x \cdot 5\right) + {\left(5\right)}^{2}$ =

${x}^{2} + 10 x + 25$