Question

a) (3m -10n)(9m² + 30mn + 100n2)
b) (9x + 8) (9x-8)
c) (13z + 11w) (16922 -1437W + 12 162)
-1)(49b + 7b4 + 1)
e) (5a-4b)(25a + 20a' b + 1662)
(15x - 4y)(15x + 4y?)
(7b​

Answer 1

De acordo com as equações a seguir:

• a³ - b³ = (a - b) × (a² + ab + b²)
• a³ + b³ = (a + b) × (a² - ab + b²)
• a² - b² = (a + b)(a - b)

Os binômios são :

a) (3m - 10n) (9m² + 30mn + 100n²)

⠀⠀(3m)³ - (10n)³

⠀⠀27m³ - 1000n³

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

⠀⠀(9x)² - 8²

⠀⠀81x² - 64

c) (13z + 11w) (169z² - 143zw + 121w²)

⠀⠀(13z)³ + (11w)³

⠀⠀2197z³ + 1331w³

d) (7b² - 1) (49b⁸ + 7b⁴ + 1)

⠀⠀(7b²)³ - 1³

⠀⠀343b⁶ - 1

e) (5a³ - 4b) (25a⁶ + 20a³b + 16b²)

⠀⠀(5a³)³ - (4b)³

⠀⠀125a⁹ - 64b³

f) (15x³ - 4y²) (15x³ + 4y²)

⠀⠀(15x³)² - (4y²)²

⠀⠀225x⁶ - 16y⁴

⠀

Espero Ter Ajudado !!