factor completely a a 2 9 2a32Solutionaa2 9 2a32 a a3 a3

factor completely

a( a ²- 9) -2(a+3)²

Solution

a(a² - 9) - 2(a+3)²

= a( a+3) (a-3) - 2(a+3)(a+3)

= (a+3) ( a(a-3) - 2(a+3))

= (a+3) (a² - 3a - 2a - 6)

= (a+3) (a² - 5a - 6)

= (a+3) ( a² - 6a + a -6)

= (a+3) ( a (a-6) +1 (a-6))

=(a+3) (a-6 ) (a+1)