Express the given complex number in the form a + ib: 3(7 + i7) + i(7 + i7)

Question:

Express the given complex number in the form $a+i b: 3(7+i 7)+i(7+i 7)$

Solution:

$3(7+i 7)+i(7+i 7)=21+21 i+7 i+7 i^{2}$

$=21+28 i+7 \times(-1)$     $\left[\because i^{2}=-1\right]$

$=14+28 i$

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