Solve (5-i)(7-5i) - ScanMath

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Type your math problem... (5-i)(7-5i)

x

Question

Simplify the expression

30 - 32 i

Evaluate

(5 - i) (7 - 5 i)

Apply the distributive property

5 \times 7 + 5 (- 5 i) - i \times 7 - i (- 5 i)

Multiply the numbers

35 + 5 (- 5 i) - i \times 7 - i (- 5 i)

Multiply the numbers

35 - 25 i - i \times 7 - i (- 5 i)

Multiply the numbers

35 - 25 i - 7 i - i (- 5 i)

Multiply the numbers

More Steps

Evaluate

- i (- 5 i)

Multiply

- (- 5) i^{2}

Multiply

5 i^{2}

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

5 (- 1)

Calculate

- 5

35 - 25 i - 7 i - 5

Calculate

30 - 25 i - 7 i

Solution

More Steps

Evaluate

- 25 i - 7 i

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

(- 25 - 7) i

Calculate

- 32 i

30 - 32 i

Show Solution

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