Final answer:
To multiply complex numbers, use the distributive property and combine like terms.
Step-by-step explanation:
To multiply (2 - 7i)(9 + 5i), you can use the distributive property. Multiply the first terms, then multiply the outer terms, the inner terms, and finally the last terms. Then combine the like terms and simplify.
(2 - 7i)(9 + 5i) = 2 * 9 + 2 * 5i - 7i * 9 - 7i * 5i
= 18 + 10i - 63i - 35i²
= 18 + 10i - 63i + 35
= 53 - 53i
So, (2 - 7i)(9 + 5i) = 53 - 53i