A.use the distributive property to write an expression that is equivalent -3(x + - 8)
if the coefficient of the variable is increased by 10, what would the new expression be after you apply the distributive property?
what is 43x82
5*15
To use the distributive property, we need to multiply each term inside the parentheses by -3.
The original expression is -3(x + -8).
Using the distributive property, we can multiply -3 by each term inside the parentheses:
-3(x) + -3(-8)
Simplifying, we have:
-3x + 24
Now, if we increase the coefficient "-3" by 10, it becomes "-3 + 10", which is equal to 7.
Therefore, the new expression after applying the distributive property with the increased coefficient is:
7x + 24.
To use the distributive property, we need to distribute the -3 to both terms within the parentheses, which are (x) and (-8).
First, let's distribute the -3 to x:
-3(x) = -3x
Next, let's distribute the -3 to -8:
-3(-8) = 24
Now let's combine these results to rewrite the expression using the distributive property:
-3(x + -8) = -3x + 24
To find the new expression after increasing the coefficient of the variable (x) by 10, we simply add 10 to the coefficient. Therefore, the new coefficient of x would be -3 + 10 = 7.
Replacing the coefficient in the original expression, the new expression with the increased coefficient would be:
7(x + -8)
So, the final new expression, after applying the distributive property and increasing the coefficient, would be 7(x) + 7(-8) = 7x - 56.