Simplify the expression.
(-2y+5)(y+3)
A) -212+8y+15
B) -212-y+15
C) 2y²+8y+8
D) 212-y+8
A) -2y²+5y+15y+15 = -2y²+20y+15 = 2(-y²+10y+7.5) = 2(y-5)(y+3)
Answer: 2(y-5)(y+3)
To simplify the expression (-2y+5)(y+3), you can distribute the terms inside the brackets.
First, you multiply -2y by y, which gives you -2y^2.
Next, you multiply -2y by 3, which gives you -6y.
Then, you multiply 5 by y, which gives you 5y.
Finally, you multiply 5 by 3, which gives you 15.
Now, you can combine the like terms:
-2y^2 - 6y + 5y + 15
Combining -6y and 5y gives you -y.
-2y^2 - y + 15
So, the simplified expression is -2y^2 - y + 15.
Therefore, the correct answer is option B) -212-y+15.