Question

What is the standard form of `y= (x-13)(x-12)`?

Answer 1

See a solution process below:

Explanation:

to put the equation into standard for we must multiply the terms on the right side of the equation. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

`y = (color(red)(x) - color(red)(13))(color(blue)(x) - color(blue)(12))` becomes:

`y = (color(red)(x) xx color(blue)(x)) - (color(red)(x) xx color(blue)(12)) - (color(red)(13) xx color(blue)(x)) + (color(red)(13) xx color(blue)(12))`

`y = x^2 - 12x - 13x + 156`

We can now combine like terms:

`y = x^2 + (-12 - 13)x + 156`

`y = x^2 + (-25)x + 156`

`y = x^2 - 25x + 156`