Question

Which property of multiplication is shown below?

If x = a + bi and y = c + di, x × y = y × x.
commutative property
identity property
distributive property
associative property

Answer 1

A.: Commutative Property

Answer 2

The option A. is correct

Explanation:

x = a + bi and y = c + di

Now, x × y = (a + bi) × (c + di)

= ac + adi + bci + bdi²

= ac - bd + i(ad + bc)

Now, y × x = (c+ di) × (a + bi)

= ac + bci + adi + bdi²

= ac - bd + i(ad + bc)

Therefore, x × y = y × x

And if ab = ba then the property is known as commutative property.

Hence, The option A. is correct