Solve a^2 2a - 8 - ScanMath

Question

Simplify the expression

2 a^{3} - 8

Evaluate

a^{2} \times 2 a - 8

Solution

More Steps

Evaluate

a^{2} \times 2 a

Multiply the terms with the same base by adding their exponents

a^{2 + 1} \times 2

Add the numbers

a^{3} \times 2

Use the commutative property to reorder the terms

2 a^{3}

2 a^{3} - 8

Show Solution

2 (a^{3} - 4)

Evaluate

a^{2} \times 2 a - 8

Multiply

More Steps

Evaluate

a^{2} \times 2 a

Multiply the terms with the same base by adding their exponents

a^{2 + 1} \times 2

Add the numbers

a^{3} \times 2

Use the commutative property to reorder the terms

2 a^{3}

2 a^{3} - 8

Solution

2 (a^{3} - 4)

Show Solution

a = 34

Alternative Form

a \approx 1.587401

Evaluate

a^{2} \times 2 a - 8

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

a^{2} \times 2 a - 8 = 0

Multiply

More Steps

Multiply the terms

a^{2} \times 2 a

Multiply the terms with the same base by adding their exponents

a^{2 + 1} \times 2

Add the numbers

a^{3} \times 2

Use the commutative property to reorder the terms

2 a^{3}

2 a^{3} - 8 = 0

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

2 a^{3} = 0 + 8

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

2 a^{3} = 8

Divide both sides

\frac{2 a ^{3}}{2} = \frac{8}{2}

Divide the numbers

a^{3} = \frac{8}{2}

Divide the numbers

More Steps

Evaluate

\frac{8}{2}

Reduce the numbers

\frac{4}{1}

Calculate

4

a^{3} = 4

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

3 a^{3} = 34

Solution

a = 34

Alternative Form

a \approx 1.587401

Show Solution