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

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

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

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

- 3

Solution steps

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

Solve

(- 2 + 1) (1) - 2 (1) : - 3

Follow the PEMDAS order of operations

Calculate within parentheses

(- 2 + 1) : - 1

- 2 + 1

- 2 + 1 = - 1

= - 1

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

Multiply and divide (left to right)

- 1 \cdot (1) : - 1

- 1 \cdot (1)

Apply rule:

(a) = a

(1) = 1

= - 1 \cdot 1

Multiply the numbers:

- 1 \cdot 1 = - 1

= - 1

= - 1 - 2 (1)

Multiply and divide (left to right)

2 (1) : 2

2 (1)

Apply rule:

(a) = a

(1) = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

= - 1 - 2

Add and subtract (left to right)

- 1 - 2 : - 3

- 1 - 2

- 1 - 2 = - 3

= - 3

= - 3

Solve

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

Follow the PEMDAS order of operations

Calculate within parentheses

(- 2 + 1) : - 1

- 2 + 1

- 2 + 1 = - 1

= - 1

= (- 1)^{2}

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

(- 1)^{2} = 1^{2} = 1

= 1

= 1

= \frac{- 3}{1}

Apply rule

\frac{a}{1} = a

= - 3

- 7 + 13 - 9

5 \times (2^{3} - 5) - 8 \times (7 - 2 \times 3)

\frac{38}{2} + 3 (8)^{2}

18 \div 9 - 18 \div 6

(- 42) - (- 35) - 34

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