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

The solution to 3(-2)-(-2)^2 is -10

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

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

- 10

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

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

= 4

= 3 (- 2) - 4

Multiply and divide (left to right)

3 (- 2) : - 6

3 (- 2)

Apply rule

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

3 (- 2) = - 3 \cdot 2 = - 6

= - 6

= - 6 - 4

Add and subtract (left to right)

- 6 - 4 : - 10

- 6 - 4

- 6 - 4 = - 10

= - 10

= - 10

(7 \times 4 + 4) \div 4

2 + \frac{3}{4} (6 - 2)

4 + \frac{9}{4} - \frac{8}{3} - \frac{1}{4}

1 - \frac{2}{3} + \frac{9}{2}

2 \times (- 5) + 4 (8 - 7 + 10 (2 - 5 - 9 + 14))