What is -(5-3)^2+(8-(-2))-3(4+(-1))^2 ?

The solution to -(5-3)^2+(8-(-2))-3(4+(-1))^2 is -21

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-(5-3)^2+(8-(-2))-3(4+(-1))^2

- (5 - 3)^{2} + (8 - (- 2)) - 3 (4 + (- 1))^{2}

- 21

Solution steps

- (5 - 3)^{2} + (8 - (- 2)) - 3 (4 + (- 1))^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(5 - 3) : 2

5 - 3

5 - 3 = 2

= 2

= - 2^{2} + (8 - (- 2)) - 3 (4 + (- 1))^{2}

Calculate within parentheses

(8 - (- 2)) : 10

8 - (- 2)

Add and subtract (left to right)

Apply rule

- (- a) = + a

- (- 2) = + 2

= 8 + 2

8 + 2 = 10

= 10

= - 2^{2} + 10 - 3 (4 + (- 1))^{2}

Calculate within parentheses

(4 + (- 1)) : 3

4 + (- 1)

Add and subtract (left to right)

Apply rule

+ (- a) = - a

+ (- 1) = - 1

= 4 - 1

4 - 1 = 3

= 3

= - 2^{2} + 10 - 3 \cdot 3^{2}

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= - 4 + 10 - 3 \cdot 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= - 4 + 10 - 3 \cdot 9

Multiply and divide (left to right)

3 \cdot 9 : 27

3 \cdot 9

3 \cdot 9 = 27

= 27

= - 4 + 10 - 27

Add and subtract (left to right)

- 4 + 10 - 27 : - 21

- 4 + 10 - 27

- 4 + 10 = 6

= 6 - 27

6 - 27 = - 21

= - 21

= - 21

0.07

14 \cdot 14

- 15 - 6 - (- 7 - (- 10))

1 \cdot (- 4 + (- 8))

4 + (- 2) - (- 3) - 6

What is -(5-3)^2+(8-(-2))-3(4+(-1))^2 ?
The solution to -(5-3)^2+(8-(-2))-3(4+(-1))^2 is -21