Question

faça nos cálculos considerando A=2xy+3z,B=3xy+z e c= - 4xy+4z.
A= A+B+C
B= A-B
C= B x C
D=B+C x A
E=B-A
​

Answer 1

Resposta:

a)

$2xy+3z + 3xy+z - 4xy+4z = \\ xy + 8z$

b)

$2xy+3z - (3xy+z) = \\ 2xy+3z -3xy - z = - xy + 2z$

c)

$(3xy+z )\times ( - 4xy+4z) = \\ - 12 {x}^{2} {y}^{2} + 12xyz - 4xyz + 4 {z}^{2} = \\ 12 {x}^{2} {y}^{2} + 8xyz + 4 {z}^{2}$

d)

$3xy+z + (- 4xy+4z) \times (2xy+3z) \\ 3xy+z - 8 {x}^{2} {y}^{2} - 12xyz + 8xyz + 12 {z}^{2} = \\ - 8 {x}^{2} {y}^{2} - 4xyz + 3xy + z + 12 {z}^{2}$

e)

$3xy+z - (2xy+3z) = \\ 3xy+z - 2xy - 3z = \\ xy - 2z$