Question

What is the standard form of `y=(x + 21)(x + 1)`?

Answer 1

See a solution process below.

Explanation:

To transform this equation to the standard for we must multiply the two terms on the right. 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)(21))(color(blue)(x) + color(blue)(1))` becomes:

`y = (color(red)(x) xx color(blue)(x)) + (color(red)(x) xx color(blue)(1)) + (color(red)(21) xx color(blue)(x)) + (color(red)(21) xx color(blue)(1))`

`y = x^2 + 1x + 21x + 21`

We can now combine like terms:

`y = x^2 + (1 + 21)x + 21`

`y = x^2 + 22x + 21`