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

The solution to 2(1)^2+2(1)+1 is 5

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2(1)^2+2(1)+1

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

5

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(1)^{2} : 1

(1)^{2}

(1)^{2} = 1

= 1

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

Multiply and divide (left to right)

2 \cdot 1 : 2

2 \cdot 1

2 \cdot 1 = 2

= 2

= 2 + 2 (1) + 1

Multiply and divide (left to right)

2 (1) : 2

2 (1)

Apply rule:

(a) = a

(1) = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

= 2 + 2 + 1

Add and subtract (left to right)

2 + 2 + 1 : 5

2 + 2 + 1

2 + 2 = 4

= 4 + 1

4 + 1 = 5

= 5

= 5

5 \times (4 + 4) + 2

81 (- 4) - (- 4)^{5}

10 - 4 \div 2

- 4 + 2 (6) - 4

- 16 - (32) - (- 15)