Solve (1-4i) (-2-7i) - ScanMath

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Type your math problem... (1-4i) (-2-7i)

x

Question

Simplify the expression

- 30 + i

Evaluate

(1 - 4 i) (- 2 - 7 i)

Apply the distributive property

- 2 - 7 i - 4 i (- 2) - 4 i (- 7 i)

Multiply the numbers

- 2 - 7 i + 8 i - 4 i (- 7 i)

Multiply the numbers

More Steps

Evaluate

- 4 i (- 7 i)

Multiply

- 4 (- 7) i^{2}

Multiply

28 i^{2}

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

28 (- 1)

Calculate

- 28

- 2 - 7 i + 8 i - 28

Calculate

- 30 - 7 i + 8 i

Solution

More Steps

Evaluate

- 7 i + 8 i

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

(- 7 + 8) i

Calculate

i

- 30 + i

Show Solution

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