Simplify the product using the distributive property
(3x-5)(5x+4)
15x^2 + 12x - 25x - 20
Can you explain as simple as you can
To simplify the product (3x-5)(5x+4) using the distributive property, we need to multiply each term inside the first parentheses by each term inside the second parentheses:
First, multiply 3x by 5x: 3x * 5x = 15x^2
Then, multiply 3x by 4: 3x * 4 = 12x
Next, multiply -5 by 5x: -5 * 5x = -25x
Lastly, multiply -5 by 4: -5 * 4 = -20
Add the results together: 15x^2 + 12x - 25x - 20
Combine like terms: 15x^2 - 13x - 20
So, (3x-5)(5x+4) simplifies to 15x^2 - 13x - 20.