What is -2(3)^2+4(3)+1 ?

The solution to -2(3)^2+4(3)+1 is -5

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

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

- 5

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(3)^{2} : 9

(3)^{2}

(3)^{2} = 9

= 9

= - 2 \cdot 9 + 4 (3) + 1

Multiply and divide (left to right)

- 2 \cdot 9 : - 18

- 2 \cdot 9

- 2 \cdot 9 = - 18

= - 18

= - 18 + 4 (3) + 1

Multiply and divide (left to right)

4 (3) : 12

4 (3)

Apply rule:

(a) = a

(3) = 3

= 4 \cdot 3

Multiply the numbers:

4 \cdot 3 = 12

= 12

= - 18 + 12 + 1

Add and subtract (left to right)

- 18 + 12 + 1 : - 5

- 18 + 12 + 1

- 18 + 12 = - 6

= - 6 + 1

- 6 + 1 = - 5

= - 5

= - 5

6 + (3 \times 4 - 5)^{2}

5^{2} \cdot 6^{2}

20 - 30 - 2

(3 + 2) (5 - 1) + (8 - 1) 3 - 4 (6 - 2)

4 - 2 (- 3)