Simplifying the Expression: (3−8y)⋅(−2.5)
This expression involves multiplying a binomial (3−8y) by a constant (-2.5). Here's how to simplify it:
Applying the Distributive Property
The distributive property allows us to multiply each term inside the parentheses by the constant outside:
- (-2.5) * (3) + (-2.5) * (-8y)
Simplifying the Multiplication
Now, we perform the multiplications:
- -7.5 + 20y
Final Expression
Therefore, the simplified form of (3−8y)⋅(−2.5) is -7.5 + 20y.
Important Note: This expression cannot be further simplified as the terms are not like terms (one has a variable 'y', the other is a constant).