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multiply. write the answer in standard form. 2i (7 - i) = \\square

Question

multiply. write the answer in standard form.

2i (7 - i) = \square

Explanation:

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 \(14i-(-2)=2 + 14i\).

Answer:

\(2 + 14i\)