What is -(9)^2-(-6)^2+3(-20) ?

The solution to -(9)^2-(-6)^2+3(-20) is -177

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-(9)^2-(-6)^2+3(-20)

- (9)^{2} - (- 6)^{2} + 3 (- 20)

- 177

Solution steps

- (9)^{2} - (- 6)^{2} + 3 (- 20)

Follow the PEMDAS order of operations

Calculate exponents

(9)^{2} : 81

(9)^{2}

(9)^{2} = 81

= 81

= - 81 - (- 6)^{2} + 3 (- 20)

Calculate exponents

(- 6)^{2} : 36

(- 6)^{2}

Apply exponent rule:

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

n

is even

(- 6)^{2} = 6^{2} = 36

= 36

= - 81 - 36 + 3 (- 20)

Multiply and divide (left to right)

3 (- 20) : - 60

3 (- 20)

Apply rule

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

3 (- 20) = - 3 \cdot 20 = - 60

= - 60

= - 81 - 36 - 60

Add and subtract (left to right)

- 81 - 36 - 60 : - 177

- 81 - 36 - 60

- 81 - 36 = - 117

= - 117 - 60

- 117 - 60 = - 177

= - 177

= - 177

1 3^{2} - 5^{2}

\frac{27}{3}

8 + 2 (2 + 2)

8 - (3 (- 2) - 2)^{2}

30 \cdot 30