Solve (-2f^326f-27)/(f-3)

Question

Simplify the expression

- \frac{52 f ^{4} + 27}{f - 3}

Evaluate

\frac{- 2 f ^{3} \times 26 f - 27}{f - 3}

Multiply

More Steps

Multiply the terms

- 2 f^{3} \times 26 f

Multiply the terms

- 52 f^{3} \times f

Multiply the terms with the same base by adding their exponents

- 52 f^{3 + 1}

Add the numbers

- 52 f^{4}

\frac{- 52 f ^{4} - 27}{f - 3}

Solution

- \frac{52 f ^{4} + 27}{f - 3}

Show Solution

f = 3

Evaluate

\frac{- 2 f ^{3} \times 26 f - 27}{f - 3}

To find the excluded values,set the denominators equal to 0

f - 3 = 0

Move the constant to the right-hand side and change its sign

f = 0 + 3

Solution

f = 3

Show Solution

f \in / R

Evaluate

\frac{- 2 f ^{3} \times 26 f - 27}{f - 3}

To find the roots of the expression,set the expression equal to 0

\frac{- 2 f ^{3} \times 26 f - 27}{f - 3} = 0

Find the domain

More Steps

Evaluate

f - 3 \neq = 0

Move the constant to the right side

f \neq = 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

f \neq = 3

\frac{- 2 f ^{3} \times 26 f - 27}{f - 3} = 0, f \neq = 3

Calculate

\frac{- 2 f ^{3} \times 26 f - 27}{f - 3} = 0

Multiply

More Steps

Multiply the terms

- 2 f^{3} \times 26 f

Multiply the terms

- 52 f^{3} \times f

Multiply the terms with the same base by adding their exponents

- 52 f^{3 + 1}

Add the numbers

- 52 f^{4}

\frac{- 52 f ^{4} - 27}{f - 3} = 0

Cross multiply

- 52 f^{4} - 27 = (f - 3) \times 0

Simplify the equation

- 52 f^{4} - 27 = 0

Solution

f \in / R

Show Solution