Solve a^2 2a-2 - ScanMath

Question

Simplify the expression

2 a^{3} - 2

Evaluate

a^{2} \times 2 a - 2

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} - 2

Show Solution

2 (a - 1) (a^{2} + a + 1)

Evaluate

a^{2} \times 2 a - 2

Evaluate

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} - 2

Factor out 2 from the expression

2 (a^{3} - 1)

Solution

More Steps

Evaluate

a^{3} - 1

Rewrite the expression in exponential form

a^{3} - 1^{3}

Use a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2}) to factor the expression

(a - 1) (a^{2} + a \times 1 + 1^{2})

Any expression multiplied by 1 remains the same

(a - 1) (a^{2} + a + 1^{2})

1 raised to any power equals to 1

(a - 1) (a^{2} + a + 1)

2 (a - 1) (a^{2} + a + 1)

Show Solution

a = 1

Evaluate

a^{2} \times 2 a - 2

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

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

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

2 a^{3} = 0 + 2

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

2 a^{3} = 2

Divide both sides

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

Divide the numbers

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

Divide the numbers

More Steps

Evaluate

\frac{2}{2}

Reduce the numbers

\frac{1}{1}

Calculate

1

a^{3} = 1

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

3 a^{3} = 31

Calculate

a = 31

Solution

a = 1

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