Question

Dados os polimônios A= 2x - 4 , B= 5x - 3 e c = 2x + 5 , calcule:A)Dados os polimônios A= 2x - 4 ,  B= 5x - 3 e c = 2x + 5 , calcule:

A) A + B + C

B) AB - BC

C) A² - 2B

D) A . B

E) A . C

F) B . C

Answer 1

A + B + C
(2x - 4) + (5x - 3) + (2x + 5)
2x - 4 + 5x - 3 + 2x + 5
2x + 5x + 2x -4 -3 + 5
9x -2

AB - BC
(2x - 4)(5x - 3) - (5x - 3)(2x + 5)
10x² - 6x - 20x + 12 - (10x² + 25x - 6x - 15)
10x² - 6x - 20x + 12 - 10x² - 25x + 6x +15
10x² - 10x² - 6x - 20x - 25x + 6x +15 + 12
-45 x + 27

A² - 2B
(2x - 4)² - 2 (5x - 3)
4x² - 16x + 16 -10x + 6 
4x² - 16x - 10x + 16 + 6
4x² - 26x + 22

A . B
(2x - 4) (5x - 3)
10 x² - 6x - 20x + 12
10 x² - 26x + 12

A . C
(2x - 4) (2x + 5)
4 x² + 10x - 8x - 20
4x² + 2x - 20

B . C
(5x - 3) (2x + 5)
10x² + 25x - 6x - 15
10x² + 19x - 15