What is 2(-3-2)-3(-1-5)^2 ?

The solution to 2(-3-2)-3(-1-5)^2 is -118

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2(-3-2)-3(-1-5)^2

2 (- 3 - 2) - 3 (- 1 - 5)^{2}

- 118

Solution steps

2 (- 3 - 2) - 3 (- 1 - 5)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(- 3 - 2) : - 5

- 3 - 2

- 3 - 2 = - 5

= - 5

= 2 (- 5) - 3 (- 1 - 5)^{2}

Calculate within parentheses

(- 1 - 5) : - 6

- 1 - 5

- 1 - 5 = - 6

= - 6

= 2 (- 5) - 3 (- 6)^{2}

Calculate exponents

(- 6)^{2} : 36

(- 6)^{2}

Apply exponent rule:

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

n

is even

(- 6)^{2} = 6^{2} = 36

= 36

= 2 (- 5) - 3 \cdot 36

Multiply and divide (left to right)

2 (- 5) : - 10

2 (- 5)

Apply rule

a \cdot (- b) = - a \cdot b

2 (- 5) = - 2 \cdot 5 = - 10

= - 10

= - 10 - 3 \cdot 36

Multiply and divide (left to right)

3 \cdot 36 : 108

3 \cdot 36

3 \cdot 36 = 108

= 108

= - 10 - 108

Add and subtract (left to right)

- 10 - 108 : - 118

- 10 - 108

- 10 - 108 = - 118

= - 118

= - 118

- 9 (4 + 3)

3 \times 4 + 5 (- 2) - 6

- 1^{2} - 2 - 1

3 - 5 + (4 + 8) - 2 + 3 + (1 + 4) - (8 - 7) + 10 + 31 + 45

- 1^{2} - 1 - 6