What is -4(-3)^2+2(-3)-1 ?

The solution to -4(-3)^2+2(-3)-1 is -43

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-4(-3)^2+2(-3)-1

- 4 (- 3)^{2} + 2 (- 3) - 1

- 43

Solution steps

- 4 (- 3)^{2} + 2 (- 3) - 1

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

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

= 9

= - 4 \cdot 9 + 2 (- 3) - 1

Multiply and divide (left to right)

- 4 \cdot 9 : - 36

- 4 \cdot 9

- 4 \cdot 9 = - 36

= - 36

= - 36 + 2 (- 3) - 1

Multiply and divide (left to right)

2 (- 3) : - 6

2 (- 3)

Apply rule

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

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

= - 6

= - 36 - 6 - 1

Add and subtract (left to right)

- 36 - 6 - 1 : - 43

- 36 - 6 - 1

- 36 - 6 = - 42

= - 42 - 1

- 42 - 1 = - 43

= - 43

= - 43

- 2 - 3 - 5

15 (0)^{2}

3 \times 8 + 2 + 7 \times 4^{2}

\frac{1}{2} + (\frac{1}{4} + \frac{1}{3})

(+ 9) + (+ 18) + (- 15)