Question

Need help with 21-23 you suppose to simplify the expression

Answer 1

To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:

-(4x + 17) + 3(7-x)

To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.

-4x - 17 + 21 - 3x

Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.

-7x + 4 (your answer)

Now, we can move on to question 22 and solve it in a similar manner:

7(2n-8) - 4(12 - 8n)

Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.

14n - 56 - 48 + 32n

Next, we will combine like terms (add the n terms together and subtract the constant terms).

46n - 104

Now, we can solve problem 23:

8 + 2(5f - 3)

We will again distribute through the parentheses:

8 + 10f - 6

Combine like terms after that:

10f + 2

Therefore, your answers for the three problems are as follows:

21) -7x + 4

22) 46n - 104

23) 10f + 2

Hope this helps!