What is [(3-8)^2-4]-(3-8) ?

The solution to [(3-8)^2-4]-(3-8) is 26

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[(3-8)^2-4]-(3-8)

[(3 - 8)^{2} - 4] - (3 - 8)

26

Solution steps

[(3 - 8)^{2} - 4] - (3 - 8)

Follow the PEMDAS order of operations

Calculate within parentheses

[(3 - 8)^{2} - 4] : 21

(3 - 8)^{2} - 4

Calculate within parentheses

(3 - 8) : - 5

3 - 8

3 - 8 = - 5

= - 5

= (- 5)^{2} - 4

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 5)^{2} = 5^{2} = 25

= 25

= 25 - 4

Add and subtract (left to right)

25 - 4 : 21

25 - 4

25 - 4 = 21

= 21

= 21

= 21 - (3 - 8)

Calculate within parentheses

(3 - 8) : - 5

3 - 8

3 - 8 = - 5

= - 5

= 21 - (- 5)

Add and subtract (left to right)

21 - (- 5) : 26

21 - (- 5)

Apply rule

- (- a) = + a

- (- 5) = + 5

= 21 + 5

21 + 5 = 26

= 26

= 26

\frac{180}{2}

- 19 - (- 2) - (- 11)

\frac{16}{81}

125 \cdot 5

4 (- 2) - 3 (- 2)