Question

How do you multiply `(x+5y)(x-3y)`?

Answer 1

To multiply these two terms you multiple each individual term in the parenthesis on the left by each individual term on the right, then group like terms and finally combine like terms. See full process below.

Explanation:

First, multiply each individual term in the parenthesis on the left by each individual term on the right:

`(color(red)(x) + color(red)(5y))(color(blue)(x) - color(blue)(3y)) ->`

`(color(red)(x) xx color(blue)(x)) + (color(red)(x) xx color(blue)(3y)) + (color(red)(5y) xx color(blue)(x)) - (color(red)(5y) xx color(blue)(3y)) ->`

`x^2 + 3xy + 5xy - 15y^2`

Finally, we combine like terms:

`x^2 + (3 + 5)xy - 15y^2 ->`

`x^2 + 8xy - 15y^2`