Solve (2a^3a)*(2a-3a)

Question

Simplify the expression

- 2 a^{5}

Evaluate

(2 a^{3} \times a) (2 a - 3 a)

Remove the parentheses

2 a^{3} \times a (2 a - 3 a)

Subtract the terms

More Steps

Simplify

2 a - 3 a

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

(2 - 3) a

Subtract the numbers

- a

2 a^{3} \times a (- a)

Any expression multiplied by 1 remains the same

- 2 a^{3} \times a \times a

Multiply the terms with the same base by adding their exponents

- 2 a^{3 + 1 + 1}

Solution

- 2 a^{5}

Show Solution

a = 0

Evaluate

(2 a^{3} \times a) (2 a - 3 a)

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

(2 a^{3} \times a) (2 a - 3 a) = 0

Multiply

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Multiply the terms

2 a^{3} \times a

Multiply the terms with the same base by adding their exponents

2 a^{3 + 1}

Add the numbers

2 a^{4}

2 a^{4} (2 a - 3 a) = 0

Subtract the terms

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Simplify

2 a - 3 a

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

(2 - 3) a

Subtract the numbers

- a

2 a^{4} (- a) = 0

Multiply the terms

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Evaluate

2 a^{4} (- a)

Multiply the numbers

- 2 a^{4} \times a

Multiply the terms

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Evaluate

a^{4} \times a

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

a^{4 + 1}

Add the numbers

a^{5}

- 2 a^{5}

- 2 a^{5} = 0

Change the signs on both sides of the equation

2 a^{5} = 0

Rewrite the expression

a^{5} = 0

Solution

a = 0

Show Solution