What is (1^2-4)/(1-2) ?

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

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(1^2-4)/(1-2)

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

3

Solution steps

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

Solve

1^{2} - 4 : - 3

Follow the PEMDAS order of operations

Calculate exponents

1^{2} : 1

1^{2}

1^{2} = 1

= 1

= 1 - 4

Add and subtract (left to right)

1 - 4 : - 3

1 - 4

1 - 4 = - 3

= - 3

= - 3

Solve

1 - 2 : - 1

1 - 2 = - 1

= - 1

= \frac{- 3}{- 1}

Simplify

\frac{- 3}{- 1} : 3

Apply the fraction rule:

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

= \frac{3}{1}

Apply rule

\frac{a}{1} = a

= 3

= 3

4 \cdot \frac{1}{2} + 6

- 4 \cdot 2 \cdot (- 3)

2 - 4 - 3

8^{2} - (8 \cdot 2 + 5^{2})

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