What is 3(-4)^2-2(-4) ?

The solution to 3(-4)^2-2(-4) is 56

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3(-4)^2-2(-4)

3 (- 4)^{2} - 2 (- 4)

56

Solution steps

3 (- 4)^{2} - 2 (- 4)

Follow the PEMDAS order of operations

Calculate exponents

(- 4)^{2} : 16

(- 4)^{2}

Apply exponent rule:

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

n

is even

(- 4)^{2} = 4^{2} = 16

= 16

= 3 \cdot 16 - 2 (- 4)

Multiply and divide (left to right)

3 \cdot 16 : 48

3 \cdot 16

3 \cdot 16 = 48

= 48

= 48 - 2 (- 4)

Multiply and divide (left to right)

2 (- 4) : - 8

2 (- 4)

Apply rule

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

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

= - 8

= 48 - (- 8)

Add and subtract (left to right)

48 - (- 8) : 56

48 - (- 8)

Apply rule

- (- a) = + a

- (- 8) = + 8

= 48 + 8

48 + 8 = 56

= 56

= 56

- 4 (2) - 1

10 \times (- 3) \times 5

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

(6)^{2} - 6 (6) + 1

(-) 4 + 57 - 9