Solve h^3-h^2-3h^3

Question

Simplify the expression

- 2 h^{3} - h^{2}

Evaluate

h^{3} - h^{2} - 3 h^{3}

Solution

More Steps

Evaluate

h^{3} - 3 h^{3}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 3) h^{3}

Subtract the numbers

- 2 h^{3}

- 2 h^{3} - h^{2}

Show Solution

- h^{2} (2 h + 1)

Evaluate

h^{3} - h^{2} - 3 h^{3}

Subtract the terms

More Steps

Evaluate

h^{3} - 3 h^{3}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 3) h^{3}

Subtract the numbers

- 2 h^{3}

- 2 h^{3} - h^{2}

Rewrite the expression

- h^{2} \times 2 h - h^{2}

Solution

- h^{2} (2 h + 1)

Show Solution

h_{1} = - \frac{1}{2}, h_{2} = 0

Alternative Form

h_{1} = - 0.5, h_{2} = 0

Evaluate

h^{3} - h^{2} - 3 h^{3}

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

h^{3} - h^{2} - 3 h^{3} = 0

Subtract the terms

More Steps

Simplify

h^{3} - h^{2} - 3 h^{3}

Subtract the terms

More Steps

Evaluate

h^{3} - 3 h^{3}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 3) h^{3}

Subtract the numbers

- 2 h^{3}

- 2 h^{3} - h^{2}

- 2 h^{3} - h^{2} = 0

Factor the expression

- h^{2} (2 h + 1) = 0

Divide both sides

h^{2} (2 h + 1) = 0

Separate the equation into 2 possible cases

h^{2} = 0 2 h + 1 = 0

The only way a power can be 0 is when the base equals 0

h = 0 2 h + 1 = 0

Solve the equation

More Steps

Evaluate

2 h + 1 = 0

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

2 h = 0 - 1

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

2 h = - 1

Divide both sides

\frac{2 h}{2} = \frac{- 1}{2}

Divide the numbers

h = \frac{- 1}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

h = - \frac{1}{2}

h = 0 h = - \frac{1}{2}

Solution

h_{1} = - \frac{1}{2}, h_{2} = 0

Alternative Form

h_{1} = - 0.5, h_{2} = 0

Show Solution