Question

Rewrite the quadratic function in intercept or factored form

h(x)=25^2-1

Answer 1

Simplify 25^2 to 625

625 - 1

Simplify

624

Answer 2

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

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

`a ^ 2-b ^ 2 = (a + b) (a-b)`

So:

`25 ^ 2-1 = 625-1 = 25 ^ 2-1 ^ 2 = 625-1 = 624`

Or in an equivalent way:

`25 ^ 2-1 ^ 2 = (25-1) (25 + 1)`

Answer:

`h (x) = 25 ^ 2-1 = (25-1) (25 + 1) = 624`