What is (-3^2-6(-3)-2)/(-3+2) ?

The solution to (-3^2-6(-3)-2)/(-3+2) is -7

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(-3^2-6(-3)-2)/(-3+2)

\frac{- 3 ^{2} - 6 ( - 3 ) - 2}{- 3 + 2}

- 7

Solution steps

\frac{- 3 ^{2} - 6 ( - 3 ) - 2}{- 3 + 2}

Solve

- 3^{2} - 6 (- 3) - 2 : 7

Follow the PEMDAS order of operations

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= - 9 - 6 (- 3) - 2

Multiply and divide (left to right)

6 (- 3) : - 18

6 (- 3)

Apply rule

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

6 (- 3) = - 6 \cdot 3 = - 18

= - 18

= - 9 - (- 18) - 2

Add and subtract (left to right)

- 9 - (- 18) - 2 : 7

- 9 - (- 18) - 2

Apply rule

- (- a) = + a

- (- 18) = + 18

= - 9 + 18 - 2

- 9 + 18 = 9

= 9 - 2

9 - 2 = 7

= 7

= 7

Solve

- 3 + 2 : - 1

Follow the PEMDAS order of operations

- 3 + 2 = - 1

= - 1

= \frac{7}{- 1}

Simplify

\frac{7}{- 1} : - 7

Apply the fraction rule:

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

= - \frac{7}{1}

Apply rule

\frac{a}{1} = a

= - 7

= - 7

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

18 - (3 \times 4)

- 4 \div (- 2) \times (- 1) + (- 2)

1 0^{3} - 4 \times 1 0^{2}

2144 \div 1 0^{4}