Solve (10i)/(3-i) - ScanMath

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Type your math problem... (10i)/(3-i)

x

Question

Simplify the expression

- 1 + 3 i

Evaluate

\frac{10 i}{3 - i}

Multiply by the Conjugate

\frac{10 i ( 3 + i )}{( 3 - i ) ( 3 + i )}

Calculate

More Steps

Evaluate

10 i (3 + i)

Apply the distributive property

10 i \times 3 + 10 i \times i

Multiply the numbers

30 i + 10 i \times i

Multiply the numbers

More Steps

Evaluate

10 i \times i

Multiply

10 i^{2}

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

10 (- 1)

Calculate

- 10

30 i - 10

Reorder the terms

- 10 + 30 i

\frac{- 10 + 30 i}{( 3 - i ) ( 3 + i )}

Calculate

More Steps

Evaluate

(3 - i) (3 + i)

Use (a - b) (a + b) = a^{2} - b^{2} to simplify the product

3^{2} - i^{2}

Evaluate the power

9 - i^{2}

Evaluate the power

9 - (- 1)

Calculate

10

\frac{- 10 + 30 i}{10}

Rewrite the expression

\frac{10 ( - 1 + 3 i )}{10}

Solution

- 1 + 3 i

Show Solution

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