Solve 3/(4-i) - ScanMath

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Type your math problem... 3/(4-i)

x

Question

Simplify the expression

\frac{12}{17} + \frac{3}{17} i

Evaluate

\frac{3}{4 - i}

Multiply by the Conjugate

\frac{3 ( 4 + i )}{( 4 - i ) ( 4 + i )}

Calculate

More Steps

Evaluate

3 (4 + i)

Apply the distributive property

3 \times 4 + 3 i

Multiply the numbers

12 + 3 i

\frac{12 + 3 i}{( 4 - i ) ( 4 + i )}

Calculate

More Steps

Evaluate

(4 - i) (4 + i)

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

4^{2} - i^{2}

Evaluate the power

16 - i^{2}

Evaluate the power

16 - (- 1)

Calculate

17

\frac{12 + 3 i}{17}

Solution

\frac{12}{17} + \frac{3}{17} i

Show Solution

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