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Popular >

simplify (15i)/(2+i)

Solution

simplify

\frac{15 i}{2 + i}

Solution

3 + 6 i

Solution steps

\frac{15 i}{2 + i}

Multiply by the conjugate

\frac{2 - i}{2 - i}

= \frac{15 i ( 2 - i )}{( 2 + i ) ( 2 - i )}

Simplify

\frac{15 i ( 2 - i )}{( 2 + i ) ( 2 - i )} : \frac{30 i + 15}{5}

= \frac{30 i + 15}{5}

Rewrite in standard complex form:

3 + 6 i

= 3 + 6 i

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Frequently Asked Questions (FAQ)

What is (15i)/(2+i) ?
The solution to (15i)/(2+i) is 3+6i