Question

Please help me I have to finish this soon

Answer 1

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

Explanation:

given

(2
`a^(6)` - 6
`a^(3)` )²

= (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)`