What is (-3)+(-8+5)(-2)+(-5-5)(-4)-(-3)^2 ?

The solution to (-3)+(-8+5)(-2)+(-5-5)(-4)-(-3)^2 is -21

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(-3)+(-8+5)(-2)+(-5-5)(-4)-(-3)^2

(- 3) + (- 8 + 5) (- 2) + (- 5 - 5) (- 4) - (- 3)^{2}

- 21

Solution steps

(- 3) + (- 8 + 5) (- 2) + (- 5 - 5) (- 4) - (- 3)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(- 8 + 5) : - 3

- 8 + 5

- 8 + 5 = - 3

= - 3

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

Calculate within parentheses

(- 5 - 5) : - 10

- 5 - 5

- 5 - 5 = - 10

= - 10

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

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= (- 3) - 3 (- 2) + (- 5 - 5) (- 4) - 9

Multiply and divide (left to right)

3 (- 2) : - 6

3 (- 2)

Apply rule

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

3 (- 2) = - 3 \cdot 2 = - 6

= - 6

= (- 3) - (- 6) + (- 5 - 5) (- 4) - 9

Multiply and divide (left to right)

(- 5 - 5) (- 4) : - 15

(- 5 - 5) (- 4)

Apply rule

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

(- 5 - 5) (- 4) = 5 - 5 \cdot 4

Multiply the numbers:

5 \cdot 4 = 20

= 5 - 20

Subtract the numbers:

5 - 20 = - 15

= - 15

= (- 3) - (- 6) - 15 - 9

Add and subtract (left to right)

(- 3) - (- 6) - 15 - 9 : - 21

(- 3) - (- 6) - 15 - 9

Apply rule

- (- a) = + a

- (- 6) = + 6

= (- 3) + 6 - 15 - 9

(- 3) + 6 = 3

= 3 - 15 - 9

3 - 15 = - 12

= - 12 - 9

- 12 - 9 = - 21

= - 21

= - 21

9 (5) + 9 (\frac{2}{3})

(\frac{2}{4} + \frac{3}{2})^{2}

1 + 2^{2} + 3^{2}

7 + 7 \times 7

\frac{1}{2} (23 - 5)

What is (-3)+(-8+5)(-2)+(-5-5)(-4)-(-3)^2 ?
The solution to (-3)+(-8+5)(-2)+(-5-5)(-4)-(-3)^2 is -21