Solve (-5-5i) (-5-10i)

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Type your math problem... (-5-5i) (-5-10i)

Question

Simplify the expression

- 25 + 75 i

Evaluate

(- 5 - 5 i) (- 5 - 10 i)

Apply the distributive property

- 5 (- 5) - 5 (- 10 i) - 5 i (- 5) - 5 i (- 10 i)

Multiply the numbers

More Steps

Evaluate

- 5 (- 5)

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

5 \times 5

Multiply the numbers

25

25 - 5 (- 10 i) - 5 i (- 5) - 5 i (- 10 i)

Multiply the numbers

25 + 50 i - 5 i (- 5) - 5 i (- 10 i)

Multiply the numbers

25 + 50 i + 25 i - 5 i (- 10 i)

Multiply the numbers

More Steps

Evaluate

- 5 i (- 10 i)

Multiply

- 5 (- 10) i^{2}

Multiply

50 i^{2}

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

50 (- 1)

Calculate

- 50

25 + 50 i + 25 i - 50

Calculate

- 25 + 50 i + 25 i

Solution

More Steps

Evaluate

50 i + 25 i

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

(2 + 1) \times 25 i

Calculate

3 \times 25 i

Multiply the numbers

75 i

- 25 + 75 i

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