Tuesday, March 31, 2015

Pls. help me factor these given, i'm new to factoring, a raised to 9 minus b raised to 9 a^9 - b^9the ^ sign is exponent, thx

This is the difference of two cubes and it returns the
product:


`a^(9)` - `b^(9)` = `a^(3*3)` - `b^(3*3)` =
(`a^(3)` -`b^(3)` )(`a^(3*2)` + `a^(3)`*`b^(3)` + `b^(3*2)`
)


`a^(9)` - `b^(9)` = (`a^(3)` - `b^(3)` )(`a^(6)` +
`a^(3)` *`b^(3)` + `b^(6)` )


We notice that the 1st factor
is also a difference of two cubes:


`a^(9)` - `b^(9)` = (a -
b)(`a^(2)` + ab + `b^(2)` )(`a^(6)` + `a^(3)`*`b^(3)` + `b^(6)`
)


The factorized expression is `a^(9)` -
`b^(9)` = (a-b)(`a^(2)` + ab + `b^(2)` )(`a^(6)` + `a^(3)` *`b^(3)` + `b^(6)`
).

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