Which of the following answers applies to the distributive property of multiplication over addition correctly for simplifying 23- 9 ( 2x + 5 + 11x
Wrong. It's 28 - 18x - 45 +11x
All you have to do in this is just 9(2x+5)
The correct application of the distributive property of multiplication over addition for simplifying the expression 23 - 9(2x + 5 + 11x) is:
23 - 9(2x) - 9(5) - 9(11x)
To apply the distributive property of multiplication over addition correctly for simplifying the expression 23 - 9(2x + 5 + 11x), you need to distribute the number 9 to every term inside the parentheses.
First, distribute 9 to 2x, 5, and 11x:
9 * 2x = 18x
9 * 5 = 45
9 * 11x = 99x
Now, substitute the original expression with the distributed terms:
23 - 18x - 45 - 99x
Next, combine like terms. Since -18x and -99x are like terms (both have the variable x), you can simplify them by adding or subtracting their coefficients:
23 - 18x - 45 - 99x = -117x - 22
So, the simplified form of 23 - 9(2x + 5 + 11x) is -117x - 22.
To apply the distributive property of multiplication over addition, you need to multiply each term inside the parentheses by the number outside the parentheses. In this case, the number outside the parentheses is 9.
So, let's break down the expression step-by-step:
23 - 9 (2x + 5 + 11x)
First, simplify the terms inside the parentheses:
2x + 5 + 11x
Now, apply the distributive property by multiplying each term inside the parentheses by 9 (the number outside the parentheses):
9 * 2x = 18x
9 * 5 = 45
9 * 11x = 99x
Now, replace the expression inside the parentheses with the simplified terms:
23 - 18x - 45 - 99x
Combine like terms by combining the x-terms (18x and -99x) and the constant terms (23 and -45):
-81x - 22
So, the expression simplifies to -81x - 22.