Dados:
A= x² + 3x -2
B= x +2
C= x -3
Calcule:
a) A • B, A • C e A • B + A • C
b) B + C e A • ( B + C )
Soluções para a tarefa
Respondido por
31
a) A.B
(x²+3x-2).(x+2)
x³+2x²+3x²+6x-2x-4
x³+5x²+4x-4
A.C
(x²+3x-2).(x-3)
x³-3x²+3x²-9x-2x+6
x³-11x+6
A.B+A.C
(x³+5x²+4x-4)+(x³-11x+6)
some e subtraia 3x² de ambos
(x³+2x²+3x²+6x-2x-4)+(x³-3x²+3x²-9x-2x+6)
(x².(x+2)+3x.(x+2)-2.(x+2))+(x².(x-3)+3x.(x-3)-2.(x-3)
((x+2).(x²+3x-2))+((x-3).(x²+3x-2)
(x-2).(x²+3x-2)+(x-3).(x²+3x-2)
(x²+3x-2).(x+2+x-3)
(x²+3x-2).(2x-1)
b)B+C
(x+2)+(x-3)
x+2+x-3
2x-1
A.(B+C)
(x²+3x-2).(2x-1)
2x³-x²+6x²-3x-4x+2
2x³+5x²-7x+2
(x²+3x-2).(x+2)
x³+2x²+3x²+6x-2x-4
x³+5x²+4x-4
A.C
(x²+3x-2).(x-3)
x³-3x²+3x²-9x-2x+6
x³-11x+6
A.B+A.C
(x³+5x²+4x-4)+(x³-11x+6)
some e subtraia 3x² de ambos
(x³+2x²+3x²+6x-2x-4)+(x³-3x²+3x²-9x-2x+6)
(x².(x+2)+3x.(x+2)-2.(x+2))+(x².(x-3)+3x.(x-3)-2.(x-3)
((x+2).(x²+3x-2))+((x-3).(x²+3x-2)
(x-2).(x²+3x-2)+(x-3).(x²+3x-2)
(x²+3x-2).(x+2+x-3)
(x²+3x-2).(2x-1)
b)B+C
(x+2)+(x-3)
x+2+x-3
2x-1
A.(B+C)
(x²+3x-2).(2x-1)
2x³-x²+6x²-3x-4x+2
2x³+5x²-7x+2
Respondido por
8
Resposta:
a)(x²+3x-2).(2x-1)
b)2x³+5x²-7x+2
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