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Find the product of these complex numbers. (8 + 5i)(-7 + 9i) =

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Final answer:

The product of the complex numbers (8 + 5i) and (-7 + 9i) is found using the FOIL method, resulting in a final product of -101 - 107i.

Step-by-step explanation:

To find the product of the complex numbers (8 + 5i) and (-7 + 9i), we use the distributive property (also known as the FOIL method in this context) to multiply the two binomials:

(8 + 5i)(-7 + 9i) = 8*(-7) + 8*(9i) + 5i*(-7) + 5i*(9i)

This simplifies to:

-56 - 72i - 35i + 45i2

Since i2 = -1:

-56 - 72i - 35i - 45

Combine like terms:

-56 - 45 - (72i + 35i)

-101 - 107i

The final product of these complex numbers is -101 - 107i.

User Dhondup
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