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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

Verified Answer :

A.: Commutative Property

Answer:

The option A. is correct

Step-by-step 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

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