%E2%8B%85(%E2%88%922.5).jpeg "(3−8y)⋅(−2.5)")
Simplifying Expressions: (3−8y)⋅(−2.5)
In mathematics, simplifying expressions is a fundamental skill. Let's break down how to simplify the expression (3−8y)⋅(−2.5).
Understanding the Expression
The expression involves:
- Parentheses: These indicate a grouping of terms.
- Multiplication: The dot (⋅) signifies multiplication.
- Variables: The letter 'y' represents a variable, which can take on different values.
- Constants: The numbers 3, -8, and -2.5 are constants.
Simplifying the Expression
To simplify the expression, we use the distributive property:
a(b + c) = ab + ac
Applying this to our expression:
(3−8y)⋅(−2.5) = 3⋅(−2.5) + (−8y)⋅(−2.5)
Now, we perform the multiplications:
= -7.5 + 20y
Result
The simplified form of the expression (3−8y)⋅(−2.5) is -7.5 + 20y.
Remember, this simplified form is equivalent to the original expression for any value of 'y'.