$$\quad ( - 7 + 3 i ) ( - 3 + 2 i )$$
$15-23i$
$$-7\left(-3\right)-7\times \left(2i\right)+3i\left(-3\right)+3\times 2i^{2}$$
$$-7\left(-3\right)-7\times \left(2i\right)+3i\left(-3\right)+3\times 2\left(-1\right)$$
$$21-14i-9i-6$$
$$21-6+\left(-14-9\right)i$$
$$15-23i$$
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$15$
$$Re(-7\left(-3\right)-7\times \left(2i\right)+3i\left(-3\right)+3\times 2i^{2})$$
$$Re(-7\left(-3\right)-7\times \left(2i\right)+3i\left(-3\right)+3\times 2\left(-1\right))$$
$$Re(21-14i-9i-6)$$
$$Re(21-6+\left(-14-9\right)i)$$
$$Re(15-23i)$$
$$15$$