What is 2(-1)^2+4(-1)-9 ?

The solution to 2(-1)^2+4(-1)-9 is -11

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2(-1)^2+4(-1)-9

2 (- 1)^{2} + 4 (- 1) - 9

- 11

Solution steps

2 (- 1)^{2} + 4 (- 1) - 9

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

= 2 \cdot 1 + 4 (- 1) - 9

Multiply and divide (left to right)

2 \cdot 1 : 2

2 \cdot 1

2 \cdot 1 = 2

= 2

= 2 + 4 (- 1) - 9

Multiply and divide (left to right)

4 (- 1) : - 4

4 (- 1)

Apply rule

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

4 (- 1) = - 4 \cdot 1 = - 4

= - 4

= 2 - 4 - 9

Add and subtract (left to right)

2 - 4 - 9 : - 11

2 - 4 - 9

2 - 4 = - 2

= - 2 - 9

- 2 - 9 = - 11

= - 11

= - 11

2 (- 1)^{2} + 4 (- 1) - 3

30 \cdot 2^{4}

30 \cdot 2^{2}

5 \times 6 + 32

- 4^{2} - 8 (- 4) - 7