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

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

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

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

1

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(2)^{2} : 4

(2)^{2}

(2)^{2} = 4

= 4

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

Multiply and divide (left to right)

- 2 \cdot 4 : - 8

- 2 \cdot 4

- 2 \cdot 4 = - 8

= - 8

= - 8 + 4 (2) + 1

Multiply and divide (left to right)

4 (2) : 8

4 (2)

Apply rule:

(a) = a

(2) = 2

= 4 \cdot 2

Multiply the numbers:

4 \cdot 2 = 8

= 8

= - 8 + 8 + 1

Add and subtract (left to right)

- 8 + 8 + 1 : 1

- 8 + 8 + 1

- 8 + 8 = 0

= 0 + 1

0 + 1 = 1

= 1

= 1

5 \times (4 + 2) + 2

(+ 3) + (- 2) + (- 5)

- 3 - 5 + (- 8) - (- 4)

4 (4) - 2

15 - [8 - (\frac{1}{3} + \frac{1}{4}) \times 6]