Solve 4p^2p-3p - ScanMath

Question

Simplify the expression

4 p^{3} - 3 p

Evaluate

4 p^{2} \times p - 3 p

Solution

More Steps

Evaluate

4 p^{2} \times p

Multiply the terms with the same base by adding their exponents

4 p^{2 + 1}

Add the numbers

4 p^{3}

4 p^{3} - 3 p

Show Solution

p (4 p^{2} - 3)

Evaluate

4 p^{2} \times p - 3 p

Multiply

More Steps

Evaluate

4 p^{2} \times p

Multiply the terms with the same base by adding their exponents

4 p^{2 + 1}

Add the numbers

4 p^{3}

4 p^{3} - 3 p

Rewrite the expression

p \times 4 p^{2} - p \times 3

Solution

p (4 p^{2} - 3)

Show Solution

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

Alternative Form

p_{1} \approx - 0.866025, p_{2} = 0, p_{3} \approx 0.866025

Evaluate

4 p^{2} \times p - 3 p

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

4 p^{2} \times p - 3 p = 0

Multiply

More Steps

Multiply the terms

4 p^{2} \times p

Multiply the terms with the same base by adding their exponents

4 p^{2 + 1}

Add the numbers

4 p^{3}

4 p^{3} - 3 p = 0

Factor the expression

p (4 p^{2} - 3) = 0

Separate the equation into 2 possible cases

p = 0 4 p^{2} - 3 = 0

Solve the equation

More Steps

Evaluate

4 p^{2} - 3 = 0

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

4 p^{2} = 0 + 3

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

4 p^{2} = 3

Divide both sides

\frac{4 p ^{2}}{4} = \frac{3}{4}

Divide the numbers

p^{2} = \frac{3}{4}

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

p = \pm \frac{3}{4}

Simplify the expression

More Steps

Evaluate

\frac{3}{4}

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

\frac{3}{4}

Simplify the radical expression

\frac{3}{2}

p = \pm \frac{3}{2}

Separate the equation into 2 possible cases

p = \frac{3}{2} p = - \frac{3}{2}

p = 0 p = \frac{3}{2} p = - \frac{3}{2}

Solution

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

Alternative Form

p_{1} \approx - 0.866025, p_{2} = 0, p_{3} \approx 0.866025

Show Solution