Solve (8-6i)⋅(-4-4i)

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Type your math problem... (8-6i)⋅(-4-4i)

Question

Simplify the expression

- 56 - 8 i

Evaluate

(8 - 6 i) (- 4 - 4 i)

Apply the distributive property

8 (- 4) + 8 (- 4 i) - 6 i (- 4) - 6 i (- 4 i)

Multiply the numbers

More Steps

Evaluate

8 (- 4)

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

- 8 \times 4

Multiply the numbers

- 32

- 32 + 8 (- 4 i) - 6 i (- 4) - 6 i (- 4 i)

Multiply the numbers

- 32 - 32 i - 6 i (- 4) - 6 i (- 4 i)

Multiply the numbers

- 32 - 32 i + 24 i - 6 i (- 4 i)

Multiply the numbers

More Steps

Evaluate

- 6 i (- 4 i)

Multiply

- 6 (- 4) i^{2}

Multiply

24 i^{2}

Use i^{2} = - 1 to transform the expression

24 (- 1)

Calculate

- 24

- 32 - 32 i + 24 i - 24

Calculate

- 56 - 32 i + 24 i

Solution

More Steps

Evaluate

- 32 i + 24 i

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

(- 4 + 3) \times 8 i

Calculate

- 8 i

- 56 - 8 i

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