Solve (-3d^23d 9)-(-2d^3-5d^22d)

Question

Simplify the expression

- 69 d^{3}

Evaluate

(- 3 d^{2} \times 3 d \times 9) - (- 2 d^{3} - 5 d^{2} \times 2 d)

Multiply

More Steps

Multiply the terms

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

Multiply the terms with the same base by adding their exponents

- 81 d^{2 + 1}

Add the numbers

- 81 d^{3}

(- 81 d^{3}) - (- 2 d^{3} - 5 d^{2} \times 2 d)

Remove the parentheses

- 81 d^{3} - (- 2 d^{3} - 5 d^{2} \times 2 d)

Multiply

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Multiply the terms

- 5 d^{2} \times 2 d

Multiply the terms

- 10 d^{2} \times d

Multiply the terms with the same base by adding their exponents

- 10 d^{2 + 1}

Add the numbers

- 10 d^{3}

- 81 d^{3} - (- 2 d^{3} - 10 d^{3})

Subtract the terms

More Steps

Evaluate

- 2 d^{3} - 10 d^{3}

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

(- 2 - 10) d^{3}

Subtract the numbers

- 12 d^{3}

- 81 d^{3} - (- 12 d^{3})

Rewrite the expression

- 81 d^{3} + 12 d^{3}

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

(- 81 + 12) d^{3}

Solution

- 69 d^{3}

Show Solution

Find the roots

d = 0

Evaluate

(- 3 d^{2} \times 3 d \times 9) - (- 2 d^{3} - 5 d^{2} \times 2 d)

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

(- 3 d^{2} \times 3 d \times 9) - (- 2 d^{3} - 5 d^{2} \times 2 d) = 0

Multiply

More Steps

Multiply the terms

- 3 d^{2} \times 3 d \times 9

Multiply the terms

More Steps

Evaluate

3 \times 3 \times 9

Multiply the terms

9 \times 9

Multiply the numbers

81

- 81 d^{2} \times d

Multiply the terms with the same base by adding their exponents

- 81 d^{2 + 1}

Add the numbers

- 81 d^{3}

(- 81 d^{3}) - (- 2 d^{3} - 5 d^{2} \times 2 d) = 0

Remove the parentheses

- 81 d^{3} - (- 2 d^{3} - 5 d^{2} \times 2 d) = 0

Multiply

More Steps

Multiply the terms

5 d^{2} \times 2 d

Multiply the terms

10 d^{2} \times d

Multiply the terms with the same base by adding their exponents

10 d^{2 + 1}

Add the numbers

10 d^{3}

- 81 d^{3} - (- 2 d^{3} - 10 d^{3}) = 0

Subtract the terms

More Steps

Simplify

- 2 d^{3} - 10 d^{3}

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

(- 2 - 10) d^{3}

Subtract the numbers

- 12 d^{3}

- 81 d^{3} - (- 12 d^{3}) = 0

Subtract the terms

More Steps

Simplify

- 81 d^{3} - (- 12 d^{3})

Rewrite the expression

- 81 d^{3} + 12 d^{3}

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

(- 81 + 12) d^{3}

Add the numbers

- 69 d^{3}

- 69 d^{3} = 0

Change the signs on both sides of the equation

69 d^{3} = 0

Rewrite the expression

d^{3} = 0

Solution

d = 0

Show Solution