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

The solution to 2(5)^2-(-1)^2-3(2)^2 is 37

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

37

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(5)^{2} : 25

(5)^{2}

(5)^{2} = 25

= 25

= 2 \cdot 25 - (- 1)^{2} - 3 (2)^{2}

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

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

= 1

= 2 \cdot 25 - 1 - 3 (2)^{2}

Calculate exponents

(2)^{2} : 4

(2)^{2}

(2)^{2} = 4

= 4

= 2 \cdot 25 - 1 - 3 \cdot 4

Multiply and divide (left to right)

2 \cdot 25 : 50

2 \cdot 25

2 \cdot 25 = 50

= 50

= 50 - 1 - 3 \cdot 4

Multiply and divide (left to right)

3 \cdot 4 : 12

3 \cdot 4

3 \cdot 4 = 12

= 12

= 50 - 1 - 12

Add and subtract (left to right)

50 - 1 - 12 : 37

50 - 1 - 12

50 - 1 = 49

= 49 - 12

49 - 12 = 37

= 37

= 37

- 5 \times 4 \div 10

2 (0) + 4

2 (- 2) - 1

((- 8) - 6 - (- 4)) /5

(6 - 2) 180