Simplify the expression. First use the distributive property to remove parentheses.
4(d-4)+5
4d - 16 + 5
To simplify the expression 4(d-4)+5, we will first use the distributive property to remove the parentheses.
The distributive property states that when a number is multiplied by a sum inside parentheses, you need to multiply it by each term in the sum.
So let's apply the distributive property:
4(d-4) + 5
= 4 * d - 4 * 4 + 5
Multiplying 4 by d gives us 4d.
Multiplying -4 by 4 gives us -16.
Therefore, the simplified expression is:
4d - 16 + 5
To simplify the expression, we'll start by using the distributive property to remove the parentheses.
The distributive property states that for any real numbers a, b, and c:
a(b + c) = ab + ac
In our expression, we have 4(d - 4) + 5. We can apply the distributive property by multiplying 4 with each term inside the parentheses:
4(d - 4) = 4d - 16
Now our expression becomes:
4d - 16 + 5
To simplify further, we'll combine like terms. Here, the like terms are the two constants -16 and 5:
4d - 16 + 5 = (4d + 5) - 16
Therefore, the simplified expression is 4d + 5 - 16, which can be further simplified as 4d - 11.