What is (-1)^2-4\times 1\times (-2) ?

The solution to (-1)^2-4\times 1\times (-2) is 9

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(-1)^2-4\times 1\times (-2)

(- 1)^{2} - 4 \cdot 1 \cdot (- 2)

9

Solution steps

(- 1)^{2} - 4 \cdot 1 \cdot (- 2)

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

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

Multiply and divide (left to right)

4 \cdot 1 \cdot (- 2) : - 8

4 \cdot 1 \cdot (- 2)

4 \cdot 1 = 4

= 4 (- 2)

Apply rule

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

4 (- 2) = - 4 \cdot 2 = - 8

= - 8

= 1 - (- 8)

Add and subtract (left to right)

1 - (- 8) : 9

1 - (- 8)

Apply rule

- (- a) = + a

- (- 8) = + 8

= 1 + 8

1 + 8 = 9

= 9

= 9

5 (3^{2}) + 4^{2} + 3 (3) + 4 (4)

\frac{1}{1 + 2 ^{2}}

\frac{1}{2} \cdot 1 2^{2}

(4 + \frac{1}{2} + \frac{1}{4}) \div 4

5 \times 1 0^{0}

What is (-1)^2-4\times 1\times (-2) ?
The solution to (-1)^2-4\times 1\times (-2) is 9