Steply

Calculate 40 - (3 + 2)^2

Step by step, with the reason for every step · Order of operations · Foundations

Step by step

The question

Question: work out 40 − (3 + 2)².

40 − (3 + 2)2

1 Brackets first

Brackets come first.

Order: ( ) → x² √ → × ÷ → + −

3 plus 2 is 5.

= 40 − 52

2 Powers

Powers come before minus.

5² means 5 times 5.

52 = 5 × 5 = 25

That is 25.

= 40 − 25

3 Plus and minus

40 minus 25 is 15.

= 15

So the answer is 15.

Let's look back.

First: brackets first.

Then: powers.

Last: plus and minus.

Answer
= 15

Your turn

Try this one yourself, then check:

Work out 45 − (3 + 2)2
Show the answer
20

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