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

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

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1/(2(-2)+1)

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

- \frac{1}{3}

Solution steps

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

Solve

2 (- 2) + 1 : - 3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 (- 2) : - 4

2 (- 2)

Apply rule

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

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

= - 4

= - 4 + 1

Add and subtract (left to right)

- 4 + 1 : - 3

- 4 + 1

- 4 + 1 = - 3

= - 3

= - 3

= \frac{1}{- 3}

Apply the fraction rule:

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

= - \frac{1}{3}

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

- 20 - 15 \div (- 5)

60 - 54 + 90 - 16

(10 + 5)^{2}

- 1 (5)^{2} + 10 (5) - 26