What is 3(-1)^2-12(-1) ?

The solution to 3(-1)^2-12(-1) is 15

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3(-1)^2-12(-1)

3 (- 1)^{2} - 12 (- 1)

15

Solution steps

3 (- 1)^{2} - 12 (- 1)

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

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

= 1

= 3 \cdot 1 - 12 (- 1)

Multiply and divide (left to right)

3 \cdot 1 : 3

3 \cdot 1

3 \cdot 1 = 3

= 3

= 3 - 12 (- 1)

Multiply and divide (left to right)

12 (- 1) : - 12

12 (- 1)

Apply rule

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

12 (- 1) = - 12 \cdot 1 = - 12

= - 12

= 3 - (- 12)

Add and subtract (left to right)

3 - (- 12) : 15

3 - (- 12)

Apply rule

- (- a) = + a

- (- 12) = + 12

= 3 + 12

3 + 12 = 15

= 15

= 15

- 90 + [(45 - 23 \times 2 + 5) \times 4]

9 \times (- 2^{2}) - 4 \times (- 2) - 3

(- 9)^{2} - 2 - (- 3) - 6

\frac{1 + 9 \cdot 8 - 2}{- 7 ( 9 - 8 \div ( 4 + 7 ) )}

- 7 [3 (- 6 - 2)] - 8 [2 (4 - 6 - 4)]