Question

if z1=2 + 3i ,z2=3-2i then z1xz2?

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Answer 1

Step-by-step explanation:

z1×z2= 6-4i+9-6i

z1×z2 = 15-10i

Answer 2

$\bf z_1 \times z_2 = 12 + 5i$

Step-by-step explanation:

Given:

• $z_1 = 2 + 3i$ and
• $z_2 = 3 - 2i$

To find:

• Find the value of $z_1 \times z_2$

Solution:

Concept to be used:

• ${i}^{2} = - 1$

Step 1:

Multiply both complex numbers.

$z_1 \times z_2 = (2 + 3i)(3 - 2i)$

or

$= 6 - 4i + 9i - 6 {i}^{2}$

or

$= 6 + 5i - 6 {i}^{2}$

Step 2:

Put the value of i² and simplify.

$= 6 + 5i - 6( - 1)$

or

$= 6 + 5i + 6$

or

$z_1 \times z_2 = 12 + 5i$

Thus,

$\bf \red{z_1 \times z_2 = 12 + 5i}$

Learn more:

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