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

Question

Simplify the expression

- 6 x a^{2} b + 18 x c + 24 x d - 8 a - 6 b^{2} c d

Evaluate

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

Remove the parentheses

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

Expand the expression

More Steps

Calculate

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

Apply the distributive property

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

Multiply the numbers

- 6 x a^{2} b - (- 18 x c) - (- 6 x \times 4 d)

Multiply the numbers

- 6 x a^{2} b - (- 18 x c) - (- 24 x 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 x a^{2} b + 18 x c + 24 x d

- 6 x a^{2} b + 18 x c + 24 x d + 2 (- 4 a - 3 b^{2} c d)

Solution

More Steps

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

More Steps

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 x a^{2} b + 18 x c + 24 x d - 8 a - 6 b^{2} c d

Show Solution

Factor the expression

- 2 (3 x a^{2} b - 9 x c - 12 x d + 4 a + 3 b^{2} c d)

Evaluate

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

Remove the parentheses

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

Simplify

More Steps

Evaluate

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

Apply the distributive property

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

Multiply the numbers

More Steps

Evaluate

- 6 (- 3)

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

6 \times 3

Multiply the numbers

18

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

Multiply the numbers

More Steps

Evaluate

- 6 (- 4)

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

6 \times 4

Multiply the numbers

24

- 6 x a^{2} b + 18 x c + 24 x d

- 6 x a^{2} b + 18 x c + 24 x d + 2 (- 4 a - 3 b^{2} c d)

Simplify

More Steps

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

More Steps

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 x a^{2} b + 18 x c + 24 x d - 8 a - 6 b^{2} c d

Solution

- 2 (3 x a^{2} b - 9 x c - 12 x d + 4 a + 3 b^{2} c d)

Show Solution