The polynomial expression is .

Rewrite the expression .

This is not a perfect square trinomial.

The trinomial compare to general trinomial expression: , So a = 25, b = 20, c = 4.

To find two numbers with a sum of 20 and a product of .

This trinomial list of the factors of 100, and look for the pair of factors is a sum of 20.

The correct factors are 10 and 10.

To factor trinomials of the form , find two integers, m and n, with a sum equal to b and a product equal to c.

Then write  .

Group terms with common factors.

Combine like terms using distributive property: ac  bc = (a b)c.

Check:

To check the solution by multiply the two factors.

Apply sum of perfect squares formula: .

The solution is "true".

The solution is .