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Please help me I have to finish this soon

Please help me I have to finish this soon-example-1
User Tvkanters
by
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1 Answer

2 votes

Answer:

4
a^(12) - 24
a^(9) + 36
a^(6)

Explanation:

given

(2
a^(6) - 6
a^(3)

= (2
a^(6) - 6a³ )(2
a^(6) - 6a³ )

Using the rule of exponents


a^(m) ×
a^(n) =
a^((m + n))

each term in the second factor is multiplied by each term in the first factor, that is

2
a^(6) (2
a^(6) - 6a³ ) - 6a³ (2
a^(6) - 6a³ ) ← distribute parenthesis

= 4
a^((6+6)) - 12
a^((6+3)) - 12
a^((3+6)) + 36
a^((3+3))

= 4
a^(12) - 12
a^(9) - 12
a^(9) + 36
a^(6)collect like terms

= 4
a^(12) - 24
a^(9) + 36
a^(6)

User Mohamedrias
by
8.5k points

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