Question

How do you write `(x-10)(2x+3)` in standard form?

Answer 1

See a solution process below:

Explanation:

To write the expression in standard form, first, multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

`(color(red)(x) - color(red)(10))(color(blue)(2x) + color(blue)(3))` becomes:

`(color(red)(x) xx color(blue)(2x)) + (color(red)(x) xx color(blue)(3)) - (color(red)(10) xx color(blue)(2x)) - (color(red)(10) xx color(blue)(3))`

`2x^2 + 3x - 20x - 30`

We can now combine like terms:

`2x^2 + (3 - 20)x - 30`

`2x^2 + (-17)x - 30`

`2x^2 - 17x - 30`