QUESTION IMAGE
Question
multiply. write the answer in standard form.
2i (7 - i) = \square
Step1: Distribute 2i
Using the distributive property (a(b - c) = ab - ac), we have \(2i(7 - i)=2i\times7 - 2i\times i\).
Step2: Simplify each term
Recall that \(i^2=- 1\). So, \(2i\times7 = 14i\) and \(2i\times i=2i^{2}=2\times(-1)=-2\). Then the expression becomes \(14i-(-2)=2 + 14i\).
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\(2 + 14i\)