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

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

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answer; always; never;