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Chapter 0: Problem 116

Use the order of operations to simplify each expression. $$8-3[-2(5-7)-5(4-2)]$$

Short Answer

Expert verified
The simplified form of the expression is \(26\).

Step by step solution

01

Solve Inside Parentheses

The mathematical expression inside the parentheses should be solved first, according to the order of operations. This gives \(8-3[-2(-2)-5(2)]\).
02

Perform Multiplication

Next, the multiplication should be carried out. This gives \(8-3[4-10]\).
03

Solve Inside Brackets

The mathematical expression inside the brackets should be solved next. This gives \(8-3[-6]\).
04

Multiply by -3

Then multiply the number inside the bracket by -3. This gives \(8-(-18)\).
05

Final Subtraction

Finally, subtract the values. This gives \(26\).

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Most popular questions from this chapter

What is an algebraic expression? Give an example with your explanation.

will help you prepare for the material covered in the first section of the next chapter. If \(y=1-x^{2}\), find the value of \(y\) that corresponds to values of \(x\) for each integer starting with \(-3\) and ending with 3 .

Factor and simplify each algebraic expression. $$4 x^{-\frac{1}{3}}+8 x^{\frac{1}{3}}$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$ 5^{-2}>2^{-5} $$

What is a perfect square trinomial and how is it factored?
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