Solve b12-b8-b^6 - ScanMath

Question

Simplify the expression

4 b - b^{6}

Evaluate

b \times 12 - b \times 8 - b^{6}

Use the commutative property to reorder the terms

12 b - b \times 8 - b^{6}

Use the commutative property to reorder the terms

12 b - 8 b - b^{6}

Solution

More Steps

Evaluate

12 b - 8 b

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

(12 - 8) b

Subtract the numbers

4 b

4 b - b^{6}

Show Solution

b (4 - b^{5})

Evaluate

b \times 12 - b \times 8 - b^{6}

Use the commutative property to reorder the terms

12 b - b \times 8 - b^{6}

Use the commutative property to reorder the terms

12 b - 8 b - b^{6}

Subtract the terms

More Steps

Simplify

12 b - 8 b

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

(12 - 8) b

Subtract the numbers

4 b

4 b - b^{6}

Rewrite the expression

b \times 4 - b \times b^{5}

Solution

b (4 - b^{5})

Show Solution

b_{1} = 0, b_{2} = 54

Alternative Form

b_{1} = 0, b_{2} \approx 1.319508

Evaluate

b \times 12 - b \times 8 - b^{6}

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

b \times 12 - b \times 8 - b^{6} = 0

Use the commutative property to reorder the terms

12 b - b \times 8 - b^{6} = 0

Use the commutative property to reorder the terms

12 b - 8 b - b^{6} = 0

Subtract the terms

More Steps

Simplify

12 b - 8 b

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

(12 - 8) b

Subtract the numbers

4 b

4 b - b^{6} = 0

Factor the expression

b (4 - b^{5}) = 0

Separate the equation into 2 possible cases

b = 0 4 - b^{5} = 0

Solve the equation

More Steps

Evaluate

4 - b^{5} = 0

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

- b^{5} = 0 - 4

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

- b^{5} = - 4

Change the signs on both sides of the equation

b^{5} = 4

Take the 5 -th root on both sides of the equation

5 b^{5} = 54

Calculate

b = 54

b = 0 b = 54

Solution

b_{1} = 0, b_{2} = 54

Alternative Form

b_{1} = 0, b_{2} \approx 1.319508

Show Solution