What is (2(-2)^2-(-2)-1)/((-2)-1) ?

The solution to (2(-2)^2-(-2)-1)/((-2)-1) is -3

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(2(-2)^2-(-2)-1)/((-2)-1)

\frac{2 ( - 2 ) ^{2} - ( - 2 ) - 1}{( - 2 ) - 1}

- 3

Solution steps

\frac{2 ( - 2 ) ^{2} - ( - 2 ) - 1}{( - 2 ) - 1}

Solve

2 (- 2)^{2} - (- 2) - 1 : 9

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

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

Multiply and divide (left to right)

2 \cdot 4 : 8

2 \cdot 4

2 \cdot 4 = 8

= 8

= 8 - (- 2) - 1

Add and subtract (left to right)

8 - (- 2) - 1 : 9

8 - (- 2) - 1

Apply rule

- (- a) = + a

- (- 2) = + 2

= 8 + 2 - 1

8 + 2 = 10

= 10 - 1

10 - 1 = 9

= 9

= 9

Solve

(- 2) - 1 : - 3

Follow the PEMDAS order of operations

(- 2) - 1 = - 3

= - 3

= \frac{9}{- 3}

Simplify

\frac{9}{- 3} : - 3

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{9}{3}

Divide the numbers:

\frac{9}{3} = 3

= - 3

= - 3

2 4^{2} + 2 6^{2}

- 3 (- 3 + 1)^{2} + 7 ((5 - 3) (3 - 7)) + 8

4 4^{2} + 3 3^{2}

28 + (89 - 67)

+ (- 4 + 7 + 2) + 9 - (- 3 + 4 - 3)

What is (2(-2)^2-(-2)-1)/((-2)-1) ?
The solution to (2(-2)^2-(-2)-1)/((-2)-1) is -3