McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
2. Complex Numbers
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Exercise 72 Page 184

Use the order of operations.

B

Practice makes perfect
According to the order of operations, we need to evaluate the expression inside the parentheses before we square the result. 3+6=9 ⇓ (3+6)^2=9^2 The correct answer is B.

Checking Our Answer

What is the problem with the other options?

Let's see why the other options are not correct.

  • A: 2* 3+2* 6 is (3+6)2. We get this if we multiply (3+6) by 2 instead of raising it to the second power.
  • C: In evaluating 3^2+6^2, we square the numbers first and add the results instead of adding the numbers first and squaring the result.
  • D: 3^2* 6^2 is (3* 6)^2. It is the square of the product, and not the square of the sum.

You can also use a calculator to evaluate these expressions.