Simplify the expression.
(-2y+5)(y+3)
A) -2y^2+8y+15
B) -2y^2-y+15
C) 2y²+8y+8
D) 2y^2-y+8
Expanding the expression using FOIL (First, Outer, Inner, Last), we get:
(-2y+5)(y+3) = -2y^2 - 6y + 5y + 15
Combining like terms, we get:
-2y^2 - y + 15
Therefore, the answer is option B) -2y^2 - y + 15.
To simplify the expression (-2y+5)(y+3), you can use the distributive property.
Multiply the first terms of each pair: -2y * y = -2y^2
Multiply the outer terms: -2y * 3 = -6y
Multiply the inner terms: 5 * y = 5y
Multiply the last terms of each pair: 5 * 3 = 15
Now, combine like terms: -2y^2 - 6y + 5y + 15
Simplifying further, we get: -2y^2 - y + 15
Therefore, the correct answer is B) -2y^2-y+15.