Simplify the product. 7a3(5a6 – 2b3) 12a18 – 9a3b6 35a9 – 14ab6 35a9 – 14a3b3 12a9 – 9a3b6
Answer:35a⁹ - 14a³b³
Explanation:
7a³(5a⁶ - 2b³)
whenever we are multiplying variables with powers, by law of indices, if the variables are the same,we simply add the powers.
That is a³ × a⁶ = a³⁺⁶ =a⁹
note: This law do not hold if the variables are not the same
7a³(5a⁶ - 2b³)
we open the bracket by multiplying each number in the bracket by 7a³
hence; 35a⁹ - 14a³b³