Answer:
100a^11 - 100a^10 - (10/7)a^5
Explanation:
To multiply the expression 2(5a^5)(10a^6 - 10a^5 - 5/7), we can distribute the 2 to each term inside the parentheses.
2(5a^5)(10a^6 - 10a^5 - 5/7) = 10a^5 * 10a^6 - 10a^5 * 10a^5 - 10a^5 * (5/7)
Now, let's simplify each term:
10a^5 * 10a^6 = 100a^(5+6) = 100a^11
-10a^5 * 10a^5 = -100a^(5+5) = -100a^10
-10a^5 * (5/7) = -(10/7)a^5
Putting it all together:
2(5a^5)(10a^6 - 10a^5 - 5/7) = 100a^11 - 100a^10 - (10/7)a^5