Solve p-p^38 - ScanMath

Question

Simplify the expression

p - 8 p^{3}

Evaluate

p - p^{3} \times 8

Solution

p - 8 p^{3}

Show Solution

p (1 - 8 p^{2})

Evaluate

p - p^{3} \times 8

Use the commutative property to reorder the terms

p - 8 p^{3}

Rewrite the expression

p - p \times 8 p^{2}

Solution

p (1 - 8 p^{2})

Show Solution

p_{1} = - \frac{2}{4}, p_{2} = 0, p_{3} = \frac{2}{4}

Alternative Form

p_{1} \approx - 0.353553, p_{2} = 0, p_{3} \approx 0.353553

Evaluate

p - p^{3} \times 8

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

p - p^{3} \times 8 = 0

Use the commutative property to reorder the terms

p - 8 p^{3} = 0

Factor the expression

p (1 - 8 p^{2}) = 0

Separate the equation into 2 possible cases

p = 0 1 - 8 p^{2} = 0

Solve the equation

More Steps

Evaluate

1 - 8 p^{2} = 0

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

- 8 p^{2} = 0 - 1

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

- 8 p^{2} = - 1

Change the signs on both sides of the equation

8 p^{2} = 1

Divide both sides

\frac{8 p ^{2}}{8} = \frac{1}{8}

Divide the numbers

p^{2} = \frac{1}{8}

Take the root of both sides of the equation and remember to use both positive and negative roots

p = \pm \frac{1}{8}

Simplify the expression

More Steps

Evaluate

\frac{1}{8}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{1}{8}

Simplify the radical expression

\frac{1}{8}

Simplify the radical expression

\frac{1}{2 2}

Multiply by the Conjugate

\frac{2}{2 2 \times 2}

Multiply the numbers

\frac{2}{4}

p = \pm \frac{2}{4}

Separate the equation into 2 possible cases

p = \frac{2}{4} p = - \frac{2}{4}

p = 0 p = \frac{2}{4} p = - \frac{2}{4}

Solution

p_{1} = - \frac{2}{4}, p_{2} = 0, p_{3} = \frac{2}{4}

Alternative Form

p_{1} \approx - 0.353553, p_{2} = 0, p_{3} \approx 0.353553

Show Solution