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3 years ago

If \$z_1=3+2i\$ and \$z_2=4+3i\$ and are complex numbers, find \$z_1z_2\$

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

4 0

$z_1z_2=(3+2i)(4+3i)=3\cdot4+2i\cdot4+3\cdot3i+2i\cdot3i$

$z_1z_2=12+8i+9i+6i^2$

$i^2=-1$ , so

$z_1z_2=12+8i+9i-6=\boxed{6+17i}$

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If \\(z_1=3+2i\\) and \\(z_2=4+3i\\) and are complex numbers, find \\(z_1z_2\\)