How do you simplify (2+3i)+(7+i)(2+3i)+(7+i) and write the complex number in standard form?

1 Answer
Jim G.
Sep 16, 2016

9+4i9+4i

Explanation:

distribute the brackets and collect like terms.

rArr(2+3i)+(7+i)=2+3i+7+i⇒(2+3i)+(7+i)=2+3i+7+i

collecting like terms.

=(2+7)+(3i+i)=9+4ilarr" in standard form"=(2+7)+(3i+i)=9+4i← in standard form

The standard form of a complex number is written.

z=a+biz=a+bi where a is the real part and bi the imaginary part.

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