Apply the properties discussed in this section to simplify each of the following as much as possible. Show all work. I don't know how to do these problems.
4x-2-3x
4x-(2-3x)
PROPERTY= associative
I don't now what properties were discussed in the section you are studying; however, thel first one should be to combine like terms.
4x-3x = x and we are left with the -2; therefore,
x-2.
For the second one,
remove the parentheses but since there is a negative sign in front, change the sign of each one inside the set of parentheses as you remove them. Like so,
4x-2+3x, then combine terms to
7x-2
Thank you but I still don't understand
You must combine similar terms to simplify.
For example, if you have 3x + 2x, using the distributive property that equals (3+2)x, which is 5x. So, when adding 3x+2x, you can add the coefficients and get 5x.
4x - 2 - 3x
Add the coefficients of x. 4x - 3x = (4-3)x = x
= x-2
Now for the second question, 4x-(2-3x)
You should distribute the negative:
= 4x - 2 - (-3x)
= 4x - 2 + 3x
Now, as above, add the coefficients of the x terms.
Note: because of the distributive property, you can add the coefficients of x^2 terms, 2^x, etc:
For example, 3x^2 - 5x^2 = (3-5)x^2 = -2x^2
To simplify the given expressions, we will use the distributive property and combine like terms.
Let's start with the first expression: 4x - 2 - 3x
1. Combine like terms: Combine the x terms together and the constant terms together.
4x - 2 - 3x = (4x - 3x) - 2
Result: x - 2
Now let's move on to the second expression: 4x - (2 - 3x)
1. Apply the distributive property: Distribute the negative sign to both terms inside the parentheses.
4x - (2 - 3x) = 4x - 2 + 3x
2. Combine like terms: Combine the x terms together.
4x - 2 + 3x = (4x + 3x) - 2
Result: 7x - 2
Therefore, the simplified expressions are:
- For 4x - 2 - 3x: x - 2
- For 4x - (2 - 3x): 7x - 2