Question

Simplify the product. 7a3(5a6 – 2b3) 12a18 – 9a3b6 35a9 – 14ab6 35a9 – 14a3b3 12a9 – 9a3b6

Answer 1

7a^3(5a^6 - 2b^3) = 35a^9 - 14a^3b^3

Answer 2

Answer:35a⁹ - 14a³b³

Step-by-step 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