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Q)

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

$(a)\;14+26i\qquad(b)\;13+25i\qquad(c)\;14+28i\qquad(d)\;13+26i$

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A)
Answer : $\;14+28i$
Explanation :
$3 (7+i7) +i(7+i7) = 21 + 21 i + 7i + 7i^{2}$
$ = 21+28i +7 \times (-1)\qquad [i^{2} =-1]$
$ = 14 + 28i$
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