Write the complex number (2x+i)^{3} in standard form?

Abbie Mcgrath

Abbie Mcgrath

Answered question

2022-01-30

Write the complex number (2x+i)3 in standard form?

Answer & Explanation

Troy Sutton

Troy Sutton

Beginner2022-01-31Added 13 answers

(8x36x)+(12x21)i
Explanation:
Step 1
(a+b)3=a3+3a2b+3ab2+b3
(2x+i)3
Step 2
=(2x)3+3(2x)2(i)+3(2x)(i)+3(2x)(i)2+(i)3
=8x3+12x2i6xi
=(8x36x)+(12x21)i

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