Solve (3h-1)(h^3) - Socratic AI (ScanMath)

Evaluate

(3 h - 1) (h^{3})

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

(3 h - 1) (h^{3}) = 0

Calculate

(3 h - 1) h^{3} = 0

Multiply the terms

h^{3} (3 h - 1) = 0

Separate the equation into 2 possible cases

h^{3} = 0 3 h - 1 = 0

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

h = 0 3 h - 1 = 0

Solve the equation

More Steps

h = 0 h = \frac{1}{3}

Solution

h_{1} = 0, h_{2} = \frac{1}{3}

Alternative Form

h_{1} = 0, h_{2} = 0. \dot{3}

(3h 1)(h^3)