Answer:
Step-by-step explanation:
Multiply each term of the first polynomial with the second polynomial. Then combine the like terms.
(3a² + 5a - 2)* (5a² -3a + 4)
= 3a² *(5a² -3a + 4) + 5a*(5a² -3a + 4) - 2*(5a² -3a + 4)
=3a²*5a² - 3a*3a² + 4*3a² + 5a*5a² - 3a*5a + 4*5a + 5a²*(-2) - 3a*(-2) + 4*(-2)
=15a⁴ - 9a³ + 12a² + 25a³ - 15a² + 20a - 10a² + 6a - 8
= 15a⁴ - 9a³ + 25a³ + 12a² - 15a² - 10a² + 20a +6a - 8
= 15a⁴ + 16a³ - 13a² +26a - 8
