What is 2(-1-1)^2+1 ?

The solution to 2(-1-1)^2+1 is 9

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2(-1-1)^2+1

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

9

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(- 1 - 1) : - 2

- 1 - 1

- 1 - 1 = - 2

= - 2

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

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

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

= 4

= 2 \cdot 4 + 1

Multiply and divide (left to right)

2 \cdot 4 : 8

2 \cdot 4

2 \cdot 4 = 8

= 8

= 8 + 1

Add and subtract (left to right)

8 + 1 : 9

8 + 1

8 + 1 = 9

= 9

= 9

2 (- 2)^{2} - 9

2 (- 2)^{2} - 5

(2 + 1)^{3} - 12

5 (3 - 4) - 2 [3 (5 - (4 - 6)) - 1] - 6

(- 7 + 4)^{2}