(3x+5y²)(2y-1)
use the distributive property.
(3x)(2y-1) + 5y²(2y-1)
Now finish it off
To simplify the expression (3x+5y²)(2y-1), we can use the distributive property.
First, let's distribute 3x to both terms inside the second parentheses:
3x * 2y = 6xy
3x * (-1) = -3x
So, the first part of the simplified expression is 6xy - 3x.
Next, let's distribute 5y² to both terms inside the second parentheses:
5y² * 2y = 10y³
5y² * (-1) = -5y²
So, the second part of the simplified expression is 10y³ - 5y².
Therefore, the simplified expression is (3x+5y²)(2y-1) = 6xy - 3x + 10y³ - 5y².