Solve 32u^4u-u - ScanMath

Question

Simplify the expression

32 u^{5} - u

Evaluate

32 u^{4} \times u - u

Solution

More Steps

Evaluate

32 u^{4} \times u

Multiply the terms with the same base by adding their exponents

32 u^{4 + 1}

Add the numbers

32 u^{5}

32 u^{5} - u

Show Solution

Factor the expression

u (32 u^{4} - 1)

Evaluate

32 u^{4} \times u - u

Multiply

More Steps

Evaluate

32 u^{4} \times u

Multiply the terms with the same base by adding their exponents

32 u^{4 + 1}

Add the numbers

32 u^{5}

32 u^{5} - u

Rewrite the expression

u \times 32 u^{4} - u

Solution

u (32 u^{4} - 1)

Show Solution

Find the roots

u_{1} = - \frac{4 8}{4}, u_{2} = 0, u_{3} = \frac{4 8}{4}

Alternative Form

u_{1} \approx - 0.420448, u_{2} = 0, u_{3} \approx 0.420448

Evaluate

32 u^{4} \times u - u

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

32 u^{4} \times u - u = 0

Multiply

More Steps

Multiply the terms

32 u^{4} \times u

Multiply the terms with the same base by adding their exponents

32 u^{4 + 1}

Add the numbers

32 u^{5}

32 u^{5} - u = 0

Factor the expression

u (32 u^{4} - 1) = 0

Separate the equation into 2 possible cases

u = 0 32 u^{4} - 1 = 0

Solve the equation

More Steps

Evaluate

32 u^{4} - 1 = 0

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

32 u^{4} = 0 + 1

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

32 u^{4} = 1

Divide both sides

\frac{32 u ^{4}}{32} = \frac{1}{32}

Divide the numbers

u^{4} = \frac{1}{32}

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

u = \pm 4 \frac{1}{32}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{32}

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

\frac{4 1}{4 32}

Simplify the radical expression

\frac{1}{4 32}

Simplify the radical expression

\frac{1}{2 4 2}

Multiply by the Conjugate

\frac{4 2 ^{3}}{2 4 2 \times 4 2 ^{3}}

Simplify

\frac{4 8}{2 4 2 \times 4 2 ^{3}}

Multiply the numbers

\frac{4 8}{4}

u = \pm \frac{4 8}{4}

Separate the equation into 2 possible cases

u = \frac{4 8}{4} u = - \frac{4 8}{4}

u = 0 u = \frac{4 8}{4} u = - \frac{4 8}{4}

Solution

u_{1} = - \frac{4 8}{4}, u_{2} = 0, u_{3} = \frac{4 8}{4}

Alternative Form

u_{1} \approx - 0.420448, u_{2} = 0, u_{3} \approx 0.420448

Show Solution