# How do you know if #100a^2 + 100a + 25# is a perfect square trinomial and how do you factor it?

##### 1 Answer

May 19, 2018

#### Answer:

#### Explanation:

For a prefect square trinomial. look for the following properties,

First and third terms must be perfect squares.

Check whether the middle term is the product of the two square roots, doubled.

If these properties are present the trinomial is a perfect square.

To factorise:

The binomial is made up of:

- square root of the first term
#(10a)# - the sign of the second term
#(+)# - the square root of the third term
#5#