(-3).jpeg "(5+v)(-3)")
Expanding the Expression (5 + v)(-3)
This expression involves multiplying a binomial (5 + v) by a monomial (-3). To expand it, we can use the distributive property.
The Distributive Property
The distributive property states that to multiply a sum by a number, we can multiply each term in the sum by the number.
In mathematical terms: a(b + c) = ab + ac
Applying the Distributive Property
Let's apply this to our expression:
(5 + v)(-3) = (-3) * 5 + (-3) * v
Simplifying the Expression
Now we perform the multiplication:
- (-3) * 5 = -15
- (-3) * v = -3v
Therefore, the expanded form of (5 + v)(-3) is -15 - 3v.
Conclusion
We have successfully expanded the expression (5 + v)(-3) using the distributive property. The final simplified form is -15 - 3v.