Question

Expand and simplify: (x + 5y) (x − 3y)

Answer 1

The answer you are looking for is x^2 - 15y^2 + 2xy.

To find this, you must first distribute one set of parenthesis into the other. This will give you "x^2 - 3xy + 5xy - 15y^2. You then combine like terms (-3xy and +5xy), to get "x^2 + 2xy - 15y^2". Finally, you organize the numbers based on their power (highest to lowest). Your final answer would be x^2 - 15y^2 + 2xy.

I hope this helps!

Answer 2

We have the following expression:
(x + 5y) (x - 3y)
Rewriting we have:
x ^ 2 - 3xy + 5xy - 15y ^ 2
Grouping similar terms we have:
x ^ 2 - 15y ^ 2 + 2xy
Answer:
The complete and simplified expression is given by:
x ^ 2 - 15y ^ 2 + 2xy