can someone explain how I would simplify (3a4 - 2a2 + 5a - 10)(2a4 + 4a2 + 5a - 2)? can anyone help? The #'s that come directly after a letter is the exponent.

Question

I just need help understanding how to simplify problems like this...

Answer 1

3a^4(2a^4+4a^2+5a-2)
-2a^2(2a^4+4a^2+5a-2)
+5a(2a^4+4a^2+5a-2)
-10(2a^4+4a^2+5a-2)

6a^8 + 12a^6 + 15a^5 - 6a^4
-4a^6 - 8a^4 - 10a^3 + 4a^2
+10a^5 + 20a^3 + 25a^2 - 10a
-20a^4 - 40a^2 - 50a + 20

6a^8 + 8a^6 +25a^5 -34a^4 +10a^3 - 11a^2 - 60a + 20

feel free to double-check my math, or using wolframaplha

Answer 2

no i need it to be shorter?.

Answer 3

Factor completely. 25a^2-64