Simplify: <mo stretchy="false">( 3 2 + <mrow> 9 i </mrow>

velinariojepvg

velinariojepvg

Answered question

2022-05-20

Simplify: ( 3 2 + 9 i 2 ) ( 5 + 10 i ).

Answer & Explanation

Leroy Lowery

Leroy Lowery

Beginner2022-05-21Added 22 answers

Simplify each term.

32+9i2-5-10i

To write -5 as a fraction with a common denominator, multiply by 22.

32-522+9i2-10i

Combine -5 and 22.

32+-522+9i2-10i

Combine the numerators over the common denominator.

3-522+9i2-10i

Simplify the numerator.

-72+9i2-10i

Move the negative in front of the fraction.

-72+9i2-10i

To write -10i as a fraction with a common denominator, multiply by 22.

-72+9i2-10i22

Combine fractions.

-72+-11i2

Move the negative in front of the fraction.

-72-11i2

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