Simplify: <mo stretchy="false">( 5 + 12 i <mo stretchy="false">) &#x2212;<!-- − -->

othereyeshmt4l

othereyeshmt4l

Answered question

2022-05-17

Simplify: ( 5 + 12 i ) ( 2 3 + 7 i 5 ).

Answer & Explanation

Layne Bailey

Layne Bailey

Beginner2022-05-18Added 16 answers

Apply the distributive property.

5+12i-23-7i5

To write 5 as a fraction with a common denominator, multiply by 33.

533-23+12i-7i5

Combine 5 and 33.

533-23+12i-7i5

Combine the numerators over the common denominator.

53-23+12i-7i5

Simplify the numerator.

133+12i-7i5

To write 12i as a fraction with a common denominator, multiply by 55.

133+12i55-7i5

Combine 12i and 55.

133+12i55-7i5

Combine the numerators over the common denominator.

133+53i5

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