(-2y + 5) (y + 3)
Expanding the expression:
-2y^2 - 6y + 5y + 15
Simplifying:
-2y^2 - y + 15
To simplify the expression (-2y + 5)(y + 3), you can use the distributive property. This property states that for any numbers a, b, and c:
(a + b) * c = a * c + b * c
So in this case, you can apply the distributive property to the expression as follows:
(-2y + 5)(y + 3) = -2y * (y + 3) + 5 * (y + 3)
Now, you can simplify each term separately:
-2y * y = -2y^2
-2y * 3 = -6y
5 * y = 5y
5 * 3 = 15
Putting it all together, you get:
-2y^2 - 6y + 5y + 15
Further simplifying the expression:
-2y^2 - y + 15