What is (-5+3)^2-3(-5+1) ?

The solution to (-5+3)^2-3(-5+1) is 16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(-5+3)^2-3(-5+1)

(- 5 + 3)^{2} - 3 (- 5 + 1)

16

Solution steps

(- 5 + 3)^{2} - 3 (- 5 + 1)

Follow the PEMDAS order of operations

Calculate within parentheses

(- 5 + 3) : - 2

- 5 + 3

- 5 + 3 = - 2

= - 2

= (- 2)^{2} - 3 (- 5 + 1)

Calculate within parentheses

(- 5 + 1) : - 4

- 5 + 1

- 5 + 1 = - 4

= - 4

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

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

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

= 4

= 4 - 3 (- 4)

Multiply and divide (left to right)

3 (- 4) : - 12

3 (- 4)

Apply rule

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

3 (- 4) = - 3 \cdot 4 = - 12

= - 12

= 4 - (- 12)

Add and subtract (left to right)

4 - (- 12) : 16

4 - (- 12)

Apply rule

- (- a) = + a

- (- 12) = + 12

= 4 + 12

4 + 12 = 16

= 16

= 16

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

1 \div 2 + 3

- 42 + 54 + (- 13) + (- 26) + 32

40 + (25 - (3 + 2))

- 20 \div 4 - 6 (- 5)