What is 2(-1)^2+5(-1)-3 ?

The solution to 2(-1)^2+5(-1)-3 is -6

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2(-1)^2+5(-1)-3

2 (- 1)^{2} + 5 (- 1) - 3

- 6

Solution steps

2 (- 1)^{2} + 5 (- 1) - 3

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 + 5 (- 1) - 3

Multiply and divide (left to right)

2 \cdot 1 : 2

2 \cdot 1

2 \cdot 1 = 2

= 2

= 2 + 5 (- 1) - 3

Multiply and divide (left to right)

5 (- 1) : - 5

5 (- 1)

Apply rule

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

5 (- 1) = - 5 \cdot 1 = - 5

= - 5

= 2 - 5 - 3

Add and subtract (left to right)

2 - 5 - 3 : - 6

2 - 5 - 3

2 - 5 = - 3

= - 3 - 3

- 3 - 3 = - 6

= - 6

= - 6

10 + [3 + (- 9)]

\frac{1}{2} - 4^{2}

9 9^{2} - 1

25 - 2 \times 7

2 (4)^{2} - 4