(-5).jpeg "(2-3m^2)(-5)")
Simplifying the Expression: (2 - 3m^2)(-5)
This expression involves multiplying a binomial (2 - 3m^2) by a constant (-5). To simplify it, we use the distributive property.
The Distributive Property
The distributive property states that multiplying a sum by a number is the same as multiplying each term of the sum by that number. In mathematical terms:
a(b + c) = ab + ac
Applying the Distributive Property
Let's apply the distributive property to our expression:
(2 - 3m^2)(-5) = (2)(-5) + (-3m^2)(-5)
Simplifying the Expression
Now we multiply each term:
(2)(-5) + (-3m^2)(-5) = -10 + 15m^2
Final Result
Therefore, the simplified expression is 15m^2 - 10.