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:

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