Ola Ana
1 1 1
a (a+1) (a+2)
a² (a+1)² (a+2)²
det =
1*(a+1)*(a+2)² + a*(a+1)²*1 + a²*1*(a+2)
-1*(a+1)*a² - (a+2)*(a+1)²*1 - (a+2)²*1*a
det = a³ + 5a² + 4 + a³ + 2a² + a + a³ + 2a²
- a³ - a² - a³ - 4a² - 2 - a³ - 4a² - 4a
det = a³ + a³ - a³ - a³ + 5a² + 2a² + 2a² -a² - 4a² - 4a² + 4 - 2
det = 4 - 2 = 2 (A)
pronto
|1,,,...............1,|..,|..1,.....................1|
|a,..............1+a|,.|1+a.,.............2+a|
|a,.............1 +a|,.|1 +a,............2 +a!
|a^2,..(.1+a)^2|.,|(1 +a)^2,(2+a)^2|,/(1+a)=
***********************************************
=|1,..........................1.|
..|a +a^2,2 +3a +a^2|/(1+a)=(2+2a)/(1+a)=2
=(2)
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Verified answer
Ola Ana
1 1 1
a (a+1) (a+2)
a² (a+1)² (a+2)²
1 1 1
a (a+1) (a+2)
det =
1*(a+1)*(a+2)² + a*(a+1)²*1 + a²*1*(a+2)
-1*(a+1)*a² - (a+2)*(a+1)²*1 - (a+2)²*1*a
det = a³ + 5a² + 4 + a³ + 2a² + a + a³ + 2a²
- a³ - a² - a³ - 4a² - 2 - a³ - 4a² - 4a
det = a³ + a³ - a³ - a³ + 5a² + 2a² + 2a² -a² - 4a² - 4a² + 4 - 2
det = 4 - 2 = 2 (A)
pronto
|1,,,...............1,|..,|..1,.....................1|
|a,..............1+a|,.|1+a.,.............2+a|
|a,.............1 +a|,.|1 +a,............2 +a!
|a^2,..(.1+a)^2|.,|(1 +a)^2,(2+a)^2|,/(1+a)=
***********************************************
=|1,..........................1.|
..|a +a^2,2 +3a +a^2|/(1+a)=(2+2a)/(1+a)=2
=(2)