Respuesta :

Simplify 25^2 to 625

625 - 1

Simplify

624

For this case we have a function of the form [tex]y = h (x)[/tex], where [tex]h (x) = 25 ^ 2-1[/tex]

We know that, by definition of perfect squares difference we have:

[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]

So:

[tex]25 ^ 2-1 = 625-1 = 25 ^ 2-1 ^ 2 = 625-1 = 624[/tex]

Or in an equivalent way:

[tex]25 ^ 2-1 ^ 2 = (25-1) (25 + 1)[/tex]

Answer:

[tex]h (x) = 25 ^ 2-1 = (25-1) (25 + 1) = 624[/tex]