Question

Se:
A = x²-9x+18 e B = x²-4

Calcule:
A.B =
A+B =
2A + 3B =

Answer 1

A · B = (x² - 9x + 18) · (x² - 4) = x⁴ - 4x² - 9x³ + 36x + 18x - 72
A · B = x⁴ - 9x³ - 4x² + 54x - 72

A + B = x² - 9x + 18 + x² - 4 = 2x² - 9x + 14

2A + 3B = 2 · (x² - 9x + 18) + 3 · (x² - 4) = 2x² - 18x + 36 + 3x² - 12
2A + 3B = 5x² - 18x + 24