Respuesta :
Answer:
[tex]2(a+3)(a+3)[/tex]
[tex]5(x+1)(x-1)[/tex]
[tex]3t(t-2)(t+8)[/tex]
[tex]n(2+n)(2-n)[/tex]
Step-by-step explanation:
Factor each expression
[tex]2a^2 + 6a + 18[/tex]
[tex]2(a^2 + 3a + 9)[/tex]
product =9 and sum =6
3 times 3 is 9
3 plus 3 is 6
[tex]2(a+3)(a+3)[/tex]
2. Factor completely: 5x^2 − 5
GCF is 5
[tex]5x^2 - 5[/tex]
[tex]5(x^2 - 1)[/tex]
[tex]5(x+1)(x-1)[/tex]
3. Factor completely: 3t^3 + 18t^2 − 48t
[tex]3t^3 + 18t^2 -48t[/tex]
[tex]3t(t^2 + 6t -16)[/tex]
product is -16 and sum is 6
-2 times 8 = -16
-2+8=6
[tex]3t(t^2 + 6t -16)[/tex]
[tex]3t(t-2)(t+8)[/tex]
4. Factor completely: 4n − n^3
[tex]n(4 -n^2)[/tex]
[tex]n(2+n)(2-n)[/tex]
