Solve (2x^(2) 6x 1)-(3x^(2) 3x 9)

Question

Simplify the expression

- 69 x^{3}

Evaluate

(2 x^{2} \times 6 x \times 1) - (3 x^{2} \times 3 x \times 9)

Multiply the terms

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Multiply the terms

2 x^{2} \times 6 x \times 1

Rewrite the expression

2 x^{2} \times 6 x

Multiply the terms

12 x^{2} \times x

Multiply the terms with the same base by adding their exponents

12 x^{2 + 1}

Add the numbers

12 x^{3}

12 x^{3} - (3 x^{2} \times 3 x \times 9)

Multiply

More Steps

Multiply the terms

3 x^{2} \times 3 x \times 9

Multiply the terms

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Evaluate

3 \times 3 \times 9

Multiply the terms

9 \times 9

Multiply the numbers

81

81 x^{2} \times x

Multiply the terms with the same base by adding their exponents

81 x^{2 + 1}

Add the numbers

81 x^{3}

12 x^{3} - 81 x^{3}

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

(12 - 81) x^{3}

Solution

- 69 x^{3}

Show Solution

Find the roots

x = 0

Evaluate

(2 x^{2} \times 6 x \times 1) - (3 x^{2} \times 3 x \times 9)

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

(2 x^{2} \times 6 x \times 1) - (3 x^{2} \times 3 x \times 9) = 0

Multiply the terms

More Steps

Multiply the terms

2 x^{2} \times 6 x \times 1

Rewrite the expression

2 x^{2} \times 6 x

Multiply the terms

12 x^{2} \times x

Multiply the terms with the same base by adding their exponents

12 x^{2 + 1}

Add the numbers

12 x^{3}

12 x^{3} - (3 x^{2} \times 3 x \times 9) = 0

Multiply

More Steps

Multiply the terms

3 x^{2} \times 3 x \times 9

Multiply the terms

More Steps

Evaluate

3 \times 3 \times 9

Multiply the terms

9 \times 9

Multiply the numbers

81

81 x^{2} \times x

Multiply the terms with the same base by adding their exponents

81 x^{2 + 1}

Add the numbers

81 x^{3}

12 x^{3} - 81 x^{3} = 0

Subtract the terms

More Steps

Simplify

12 x^{3} - 81 x^{3}

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

(12 - 81) x^{3}

Subtract the numbers

- 69 x^{3}

- 69 x^{3} = 0

Change the signs on both sides of the equation

69 x^{3} = 0

Rewrite the expression

x^{3} = 0

Solution

x = 0

Show Solution