Solve 2m m^2-1 m^21

Question

Simplify the expression

2 m^{3} - m^{2}

Evaluate

2 m \times m^{2} - 1 \times m^{2} \times 1

Multiply

More Steps

Multiply the terms

2 m \times m^{2}

Multiply the terms with the same base by adding their exponents

2 m^{1 + 2}

Add the numbers

2 m^{3}

2 m^{3} - 1 \times m^{2} \times 1

Solution

2 m^{3} - m^{2}

Show Solution

m^{2} (2 m - 1)

Evaluate

2 m \times m^{2} - 1 \times m^{2} \times 1

Multiply

More Steps

Multiply the terms

2 m \times m^{2}

Multiply the terms with the same base by adding their exponents

2 m^{1 + 2}

Add the numbers

2 m^{3}

2 m^{3} - 1 \times m^{2} \times 1

Multiply the terms

2 m^{3} - m^{2}

Rewrite the expression

m^{2} \times 2 m - m^{2}

Solution

m^{2} (2 m - 1)

Show Solution

m_{1} = 0, m_{2} = \frac{1}{2}

Alternative Form

m_{1} = 0, m_{2} = 0.5

Evaluate

2 m \times m^{2} - 1 \times m^{2} \times 1

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

2 m \times m^{2} - 1 \times m^{2} \times 1 = 0

Multiply

More Steps

Multiply the terms

2 m \times m^{2}

Multiply the terms with the same base by adding their exponents

2 m^{1 + 2}

Add the numbers

2 m^{3}

2 m^{3} - 1 \times m^{2} \times 1 = 0

Multiply the terms

2 m^{3} - m^{2} = 0

Factor the expression

m^{2} (2 m - 1) = 0

Separate the equation into 2 possible cases

m^{2} = 0 2 m - 1 = 0

The only way a power can be 0 is when the base equals 0

m = 0 2 m - 1 = 0

Solve the equation

More Steps

Evaluate

2 m - 1 = 0

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

2 m = 0 + 1

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

2 m = 1

Divide both sides

\frac{2 m}{2} = \frac{1}{2}

Divide the numbers

m = \frac{1}{2}

m = 0 m = \frac{1}{2}

Solution

m_{1} = 0, m_{2} = \frac{1}{2}

Alternative Form

m_{1} = 0, m_{2} = 0.5

Show Solution