What is -5(-1)^2+5(-1)+5 ?

The solution to -5(-1)^2+5(-1)+5 is -5

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-5(-1)^2+5(-1)+5

- 5 (- 1)^{2} + 5 (- 1) + 5

- 5

Solution steps

- 5 (- 1)^{2} + 5 (- 1) + 5

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

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

= 1

= - 5 \cdot 1 + 5 (- 1) + 5

Multiply and divide (left to right)

- 5 \cdot 1 : - 5

- 5 \cdot 1

- 5 \cdot 1 = - 5

= - 5

= - 5 + 5 (- 1) + 5

Multiply and divide (left to right)

5 (- 1) : - 5

5 (- 1)

Apply rule

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

5 (- 1) = - 5 \cdot 1 = - 5

= - 5

= - 5 - 5 + 5

Add and subtract (left to right)

- 5 - 5 + 5 : - 5

- 5 - 5 + 5

- 5 - 5 = - 10

= - 10 + 5

- 10 + 5 = - 5

= - 5

= - 5

(- 3) (- 4) + (- 1) (+ 2) \div (+ 2) (- 2)

- (3 \times (- 7))

[4 + 2 \frac{2}{5}] \times \frac{1}{5}

1 6^{2} - 7^{2}

3 \times 5 + (3 \times 2 - 8) \times 5 - 3