Question

5. Considerando A = xy – 6x2 - 4x + 72, B = -9xy + 5xz – X + 3z e C= -10xy + 11x2 + 3x – 4z, determine:
a) A + B-C
b) A-B+C​

Answer 1

Resposta:

$a) - 17 {x}^{2} - 8x + 7z + 2xy + 5xz + 72$

$b)5 {x}^{2} - 7z - 5xz + 72$

Explicação passo-a-passo:

a) A + B - C

$(xy - 6 {x}^{2} - 4x + 72) + ( - 9xy + 5xz - x + 3z) - ( - 10xy + 11 {x}^{2} + 3x - 4z)$

$xy - 6 {x}^{2} - 4x + 72 -9xy + 5xz - x + 3z + 10xy - 11 {x}^{2} - 3x + 4z$

$- 17 {x}^{2} - 8x + 7z + 2xy + 5xz + 72$

b) A - B + C

$(xy - 6 {x}^{2} - 4x + 72) - ( - 9xy + 5xz - x + 3z) + ( - 10xy + 11 {x}^{2} + 3x - 4z)$

$xy - 6 {x}^{2} - 4x + 72 + 9xy - 5xz + x - 3z - 10xy + 11 {x}^{2} + 3x - 4z$

$5 {x}^{2} - 7z - 5xz + 72$