# Perfect Square Formula

When a polynomial is multiplied by itself, then it is a perfect square. Example – polynomial ax+ bx + c is a perfect square if b= 4ac.

Perfect Square Formula is given as,

$\large \left(a+b\right)^{2}=a^{2}+2ab+b^{2}$

### Solved Example

Question: Is x2 + 10x + 25 a perfect square or not ?

Solution:

x+ 10x + 25
= x+ 10x + (5

$$\begin{array}{l}\times\end{array}$$
5)
= x+ 10x + 52
= x+ 2(5
$$\begin{array}{l}\times\end{array}$$
x) + 52
= (x + 5)2

So, x2 + 10x + 25 is a perfect square.