What is (2(-6)-3)/((-6)^2+1) ?

The solution to (2(-6)-3)/((-6)^2+1) is -15/37

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2(-6)-3)/((-6)^2+1)

\frac{2 ( - 6 ) - 3}{( - 6 ) ^{2} + 1}

- \frac{15}{37}

Solution steps

\frac{2 ( - 6 ) - 3}{( - 6 ) ^{2} + 1}

Solve

2 (- 6) - 3 : - 15

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 (- 6) : - 12

2 (- 6)

Apply rule

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

2 (- 6) = - 2 \cdot 6 = - 12

= - 12

= - 12 - 3

Add and subtract (left to right)

- 12 - 3 : - 15

- 12 - 3

- 12 - 3 = - 15

= - 15

= - 15

Solve

(- 6)^{2} + 1 : 37

Follow the PEMDAS order of operations

Calculate exponents

(- 6)^{2} : 36

(- 6)^{2}

Apply exponent rule:

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

n

is even

(- 6)^{2} = 6^{2} = 36

= 36

= 36 + 1

Add and subtract (left to right)

36 + 1 : 37

36 + 1

36 + 1 = 37

= 37

= 37

= \frac{- 15}{37}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{15}{37}

6 (12)^{2} + 72 (12)

3^{2} - 3 \times 3 + 4

\frac{( - 9 ) \times 2 + 12}{2 ^{2}}

42 - 5 + 3 - 2

- 6 - 1 0^{2}