Question

dada a fatoração, determine a binômio que o gerou
(3 m - 1on) C9m² +3omn+1oon)
​

Answer 1

a) (3m - 10n) (9m² + 30mn + 100n²)

⠀⠀27m³ + 90m²n + 300mn² - 90m²n - 300mn² - 1000n³

⠀⠀27m³ - 1000n³

b) (9x + 8) (9x - 8)

⠀⠀(9x)² - 8²

⠀⠀81x² - 64

c) (13z + 11w) (169x² - 143zw + 121w²)

⠀⠀2197x²z - 1859wz² + 1573w²z + 1859wx² - 1573w²z + 1331w³

⠀⠀2197x²z - 1859wz² + 1859wx² + 1331w³

d) (7b² - 1) (49b⁸ + 7b⁴ + 1)

⠀⠀343b¹⁰ + 49b⁶ + 7b² - 49b⁸ - 7b⁴ -1

e) (5a³ - 4b) (25a⁶ + 20a³b + 16b²)

⠀⠀(5a³)³ - (4b)³

⠀⠀125a⁹ - 64b³

f) (15x³ - 4y²) (15x³ + 4y²)

⠀⠀(15x³)² - (4y²)²

⠀⠀225x⁶ - 16y⁴