What is (16+20i)/(9+i) ?

The solution to (16+20i)/(9+i) is 2+2i

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simplify (16+20i)/(9+i)

simplify

\frac{16 + 20 i}{9 + i}

2 + 2 i

Solution steps

\frac{16 + 20 i}{9 + i}

Multiply by the conjugate

\frac{9 - i}{9 - i}

= \frac{( 16 + 20 i ) ( 9 - i )}{( 9 + i ) ( 9 - i )}

Simplify

\frac{( 16 + 20 i ) ( 9 - i )}{( 9 + i ) ( 9 - i )} : \frac{164 + 164 i}{82}

= \frac{164 + 164 i}{82}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{164}{82} + \frac{164}{82} i

Simplify

\frac{164}{82} + \frac{164}{82} i : 2 + 2 i

= 2 + 2 i

6 a^{2} b + 7 a^{2} b

(- 2 x^{3})^{3}

(2 t^{2})^{2}

2 (3 a^{2})^{3}

(2 x + 3) (3 x^{2} - 6 x + 2)