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

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asked Nov 23, 2021 179k views

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

Mathematics
college

JoshStrange asked

by JoshStrange

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

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

i^2=-1 , so

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

Sarvesh Dalvi answered Nov 28, 2021

by Sarvesh Dalvi

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