Simplifying Expressions: (-2a + 5 - b) x (-5)
This expression involves multiplying a trinomial (-2a + 5 - b) by a monomial (-5). We can simplify this expression 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 in the sum by the number and then adding the products. In this case, we have:
(-2a + 5 - b) x (-5) = (-5) * (-2a) + (-5) * 5 + (-5) * (-b)
Simplifying the Expression
Now we can multiply each term:
(-5) * (-2a) = 10a (-5) * 5 = -25 (-5) * (-b) = 5b
Finally, we add the products:
10a - 25 + 5b
The Final Result
Therefore, the simplified form of (-2a + 5 - b) x (-5) is 10a - 25 + 5b.