What is 2(3-4)-(-3)^2 ?

The solution to 2(3-4)-(-3)^2 is -11

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2(3-4)-(-3)^2

2 (3 - 4) - (- 3)^{2}

- 11

Solution steps

2 (3 - 4) - (- 3)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - 4) : - 1

3 - 4

3 - 4 = - 1

= - 1

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

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= 2 (- 1) - 9

Multiply and divide (left to right)

2 (- 1) : - 2

2 (- 1)

Apply rule

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

2 (- 1) = - 2 \cdot 1 = - 2

= - 2

= - 2 - 9

Add and subtract (left to right)

- 2 - 9 : - 11

- 2 - 9

- 2 - 9 = - 11

= - 11

= - 11

4 (- 4)^{2}

- 3^{3} + (4 - 7) (15 - 25) - (13 + 25 - (- 5^{2}))

3/5 + 3/9 - 5/3

(- 4)^{2} + 5 (- 4)

- 5 (- 1)^{3}