Solve -6(a^2b-3c^2d)-(-2)(-4a-3b^2c d)

Question

Simplify the expression

- 6 a^{2} b + 18 c^{2} d - 8 a - 6 b^{2} c d

Evaluate

- 6 (a^{2} b - 3 c^{2} d) - (- 2) (- 4 a - 3 b^{2} c d)

Remove the parentheses

- 6 (a^{2} b - 3 c^{2} d) - (- 2 (- 4 a - 3 b^{2} c d))

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 6 (a^{2} b - 3 c^{2} d) + 2 (- 4 a - 3 b^{2} c d)

Expand the expression

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Calculate

- 6 (a^{2} b - 3 c^{2} d)

Apply the distributive property

- 6 a^{2} b - (- 6 \times 3 c^{2} d)

Multiply the numbers

- 6 a^{2} b - (- 18 c^{2} d)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 6 a^{2} b + 18 c^{2} d

- 6 a^{2} b + 18 c^{2} d + 2 (- 4 a - 3 b^{2} c d)

Solution

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Calculate

2 (- 4 a - 3 b^{2} c d)

Apply the distributive property

2 (- 4 a) - 2 \times 3 b^{2} c d

Multiply the numbers

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Evaluate

2 (- 4)

Multiplying or dividing an odd number of negative terms equals a negative

- 2 \times 4

Multiply the numbers

- 8

- 8 a - 2 \times 3 b^{2} c d

Multiply the numbers

- 8 a - 6 b^{2} c d

- 6 a^{2} b + 18 c^{2} d - 8 a - 6 b^{2} c d

Show Solution

Factor the expression

- 2 (3 a^{2} b - 9 c^{2} d + 4 a + 3 b^{2} c d)

Evaluate

- 6 (a^{2} b - 3 c^{2} d) - (- 2) (- 4 a - 3 b^{2} c d)

Remove the parentheses

- 6 (a^{2} b - 3 c^{2} d) - (- 2 (- 4 a - 3 b^{2} c d))

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 6 (a^{2} b - 3 c^{2} d) + 2 (- 4 a - 3 b^{2} c d)

Simplify

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Evaluate

- 6 (a^{2} b - 3 c^{2} d)

Apply the distributive property

- 6 a^{2} b - 6 (- 3 c^{2} d)

Multiply the terms

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Evaluate

- 6 (- 3)

Multiplying or dividing an even number of negative terms equals a positive

6 \times 3

Multiply the numbers

18

- 6 a^{2} b + 18 c^{2} d

- 6 a^{2} b + 18 c^{2} d + 2 (- 4 a - 3 b^{2} c d)

Simplify

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Evaluate

2 (- 4 a - 3 b^{2} c d)

Apply the distributive property

2 (- 4 a) + 2 (- 3 b^{2} c d)

Multiply the terms

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Evaluate

2 (- 4)

Multiplying or dividing an odd number of negative terms equals a negative

- 2 \times 4

Multiply the numbers

- 8

- 8 a + 2 (- 3 b^{2} c d)

Multiply the terms

More Steps

Evaluate

2 (- 3)

Multiplying or dividing an odd number of negative terms equals a negative

- 2 \times 3

Multiply the numbers

- 6

- 8 a - 6 b^{2} c d

- 6 a^{2} b + 18 c^{2} d - 8 a - 6 b^{2} c d

Solution

- 2 (3 a^{2} b - 9 c^{2} d + 4 a + 3 b^{2} c d)

Show Solution