Compute <mo stretchy="false">( 2 3 + <mrow> 6 i </mrow>

Marco Villanueva

Marco Villanueva

Answered question

2022-05-19

Compute ( 2 3 + 6 i 13 ) ( 6 + 15 i ).

Answer & Explanation

empatteMattmkezo

empatteMattmkezo

Beginner2022-05-20Added 22 answers

Simplify each term.

23+6i13-6-15i

To write -6 as a fraction with a common denominator, multiply by 33.

23-633+6i13-15i

Combine -6 and 33.

23+-633+6i13-15i

Combine the numerators over the common denominator.

2-633+6i13-15i

Simplify the numerator.

-163+6i13-15i

Move the negative in front of the fraction.

-163+6i13-15i

To write -15i as a fraction with a common denominator, multiply by 1313.

-163+6i13-15i1313

Combine fractions.

-163+-189i13

Move the negative in front of the fraction.

-163-189i13

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