Question

1 ) Sendo A = X² - 18 x + 81 B = X² +18 x + 81 Determine :

A ) A + B

B ) A - B

C ) B - A

2) Dados os Polinômios

A = 15 a³ b⁴ -12 ²ab³

B = 9 ²ab³ - 6 ²ab³

C = 3 ²ab²

Determine:

A) A + B + C

B A - B - C

Answer 1

A = x² - 18x + 81
B = x² + 18x + 81

1.
a) A + B
x² - 18x + 81 + x² + 18x + 81
2x² + 162

b) A - B
x² - 18x + 81 - x² + 18x + 81
162

c) B - A
x² + 18x + 81 - x² - 18x + 81
162

2.

A = 15a³b⁴ - 12²ab³
B = 9²ab³ - 6²ab³
C = 3²ab³

a) A + B + C
15a³b⁴ - 12²ab³ + 9²ab³ - 6²ab³ + 3²ab³
ab³ . ( 15a²b - 12² + 9² - 6² + 3² )
ab³ . ( 15a²b - 144 + 81 - 36 + 9 )
ab³ . ( 15a²b - 90 )
ab³ . 15 . ( a²b - 6 )
15ab³ . ( a²b - 6 )

b) A - B - C
15a³b⁴ - 12²ab³ + 9²ab³ - 6²ab³ - 3²ab³
ab³ . ( 15a²b - 12² - 9² - 6² - 3² )
ab³ . ( 15a²b - 144 - 81 - 36 - 9 )
ab³ . ( 15a²b - 270 )
ab³ . 15 . ( a²b - 18 )
15ab³ . ( a²b - 18 )