*(-2.5).jpeg "(3-8y)*(-2.5)")
Simplifying the Expression: (3-8y)*(-2.5)
This expression involves the multiplication of a binomial (3-8y) by a constant (-2.5). We can simplify it using the distributive property.
The Distributive Property
The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. Mathematically:
a(b + c) = ab + ac
Applying the Distributive Property
In our case:
- a = -2.5
- b = 3
- c = -8y
Applying the distributive property, we get:
(-2.5)(3 - 8y) = (-2.5)(3) + (-2.5)(-8y)
Simplifying the Expression
Now, we simply perform the multiplications:
(-2.5)(3) + (-2.5)(-8y) = -7.5 + 20y
Final Result
Therefore, the simplified form of the expression (3-8y)*(-2.5) is -7.5 + 20y.