Solve 2b^3b-10b - ScanMath

Question

Simplify the expression

2 b^{4} - 10 b

Evaluate

2 b^{3} \times b - 10 b

Solution

More Steps

Evaluate

2 b^{3} \times b

Multiply the terms with the same base by adding their exponents

2 b^{3 + 1}

Add the numbers

2 b^{4}

2 b^{4} - 10 b

Show Solution

2 b (b^{3} - 5)

Evaluate

2 b^{3} \times b - 10 b

Multiply

More Steps

Evaluate

2 b^{3} \times b

Multiply the terms with the same base by adding their exponents

2 b^{3 + 1}

Add the numbers

2 b^{4}

2 b^{4} - 10 b

Rewrite the expression

2 b \times b^{3} - 2 b \times 5

Solution

2 b (b^{3} - 5)

Show Solution

b_{1} = 0, b_{2} = 35

Alternative Form

b_{1} = 0, b_{2} \approx 1.709976

Evaluate

2 b^{3} \times b - 10 b

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

2 b^{3} \times b - 10 b = 0

Multiply

More Steps

Multiply the terms

2 b^{3} \times b

Multiply the terms with the same base by adding their exponents

2 b^{3 + 1}

Add the numbers

2 b^{4}

2 b^{4} - 10 b = 0

Factor the expression

2 b (b^{3} - 5) = 0

Divide both sides

b (b^{3} - 5) = 0

Separate the equation into 2 possible cases

b = 0 b^{3} - 5 = 0

Solve the equation

More Steps

Evaluate

b^{3} - 5 = 0

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

b^{3} = 0 + 5

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

b^{3} = 5

Take the 3 -th root on both sides of the equation

3 b^{3} = 35

Calculate

b = 35

b = 0 b = 35

Solution

b_{1} = 0, b_{2} = 35

Alternative Form

b_{1} = 0, b_{2} \approx 1.709976

Show Solution