Simplify: <mo stretchy="false">( 6 + 11 i <mo stretchy="false">) &#x2212;<!-- − -->

Jaeden Weaver

Jaeden Weaver

Answered question

2022-05-19

Simplify: ( 6 + 11 i ) ( 3 4 + i 5 ).

Answer & Explanation

Mackenzie Zimmerman

Mackenzie Zimmerman

Beginner2022-05-20Added 15 answers

Apply the distributive property.

6+11i-34-i5

To write 6 as a fraction with a common denominator, multiply by 44.

644-34+11i-i5

Combine 6 and 44.

644-34+11i-i5

Combine the numerators over the common denominator.

64-34+11i-i5

Simplify the numerator.

214+11i-i5

To write 11i as a fraction with a common denominator, multiply by 55.

214+11i55-i5

Combine 11i and 55.

214+11i55-i5

Combine the numerators over the common denominator.

214+54i5

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