What is ((-3)^2-4(-3)-32)/((-3)^2-4) ?

The solution to ((-3)^2-4(-3)-32)/((-3)^2-4) is -2 1/5

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Popular >

((-3)^2-4(-3)-32)/((-3)^2-4)

Solution

\frac{( - 3 ) ^{2} - 4 ( - 3 ) - 32}{( - 3 ) ^{2} - 4}

Solution

- 2 \frac{1}{5}

Solution steps

\frac{( - 3 ) ^{2} - 4 ( - 3 ) - 32}{( - 3 ) ^{2} - 4}

Solve

(- 3)^{2} - 4 (- 3) - 32 : - 11

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

= 9 - 4 (- 3) - 32

Multiply and divide (left to right)

4 (- 3) : - 12

4 (- 3)

Apply rule

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

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

= - 12

= 9 - (- 12) - 32

Add and subtract (left to right)

9 - (- 12) - 32 : - 11

9 - (- 12) - 32

Apply rule

- (- a) = + a

- (- 12) = + 12

= 9 + 12 - 32

9 + 12 = 21

= 21 - 32

21 - 32 = - 11

= - 11

= - 11

Solve

(- 3)^{2} - 4 : 5

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

= 9 - 4

Add and subtract (left to right)

9 - 4 : 5

9 - 4

9 - 4 = 5

= 5

= 5

= \frac{- 11}{5}

Simplify

\frac{- 11}{5} : - 2 \frac{1}{5}

Apply the fraction rule:

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

= - \frac{11}{5}

Convert improper fractions to mixed numbers:

\frac{11}{5} = 2 \frac{1}{5}

\frac{11}{5} = 2

Remainder

1

\frac{11}{5}

Write the problem in long division format

5 \overline{∣ 11}

Divide

11

5

to get

2

Divide

11

5

to get

2

2 5 \overline{∣ 11}

Multiply the quotient digit

(2)

by the divisor

5

2 5 \overline{∣ 11} \underline{10}

Subtract

10

from

11

2 5 \overline{∣ 11} \underline{10} 1

2 5 \overline{∣ 11} \underline{10} 1

The solution for Long Division of

\frac{11}{5}

2

with remainder of

1

2 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{11}{5} = 2 \frac{1}{5}

= 2 \frac{1}{5}

= - 2 \frac{1}{5}

= - 2 \frac{1}{5}

Popular Examples

(8-6)^3\times 4^2-5

(8 - 6)^{3} \times 4^{2} - 5

-6(-6-8)

- 6 (- 6 - 8)

{5+[3\times (23-19)]-2}-15

{5 + [3 \times (23 - 19)] - 2} - 15

(7-4)+(9-5)

(7 - 4) + (9 - 5)

2^5+2^4

2^{5} + 2^{4}

Frequently Asked Questions (FAQ)

What is ((-3)^2-4(-3)-32)/((-3)^2-4) ?
The solution to ((-3)^2-4(-3)-32)/((-3)^2-4) is -2 1/5