Question

1)Resolva os produtos notáveis

a)(2x+4y)²

b)(x²+2y³)²

c)(3a³-2b²)²

d)(x-4)²

e)(8a³b⁴+3x^5 y^6)²

f)(5ab-6a²b²)²

Answer 1

a)
= (2x + 4y)²

= (2x)² + 2.2x.4y + (4y)²

= 4x² + 16xy + 16y²

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b)
= (x² + 2y³)²

= (x²)² + 2.x².2y³ + (2y³)²

= x⁴ + 4x²y³ + 4y⁶

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c)
= (3a³ - 2b²)²

= (3a³)² - 2.3a³.2b² + (2b²)²

= 9a⁶ - 12a³b² + 4b⁴

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d)
= (x - 4)²

= x² - 2.4x + 4²

= x² - 8x + 16

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e)

= (8a³b⁴ + 3x^5 y^6)²

= (8a³b⁴)² + 2.8a³b⁴.3x⁵y⁶ + (3x⁵y⁶)²

= 64a⁶b⁸ + 48a³b⁴x⁵y⁶ + 9x¹⁰y¹²

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f)

= (5ab - 6a²b²)²

= (5ab)² - 2.5ab. 6a²b² + (6a²b²)²

= 25a²b² - 10ab.6a²b² + 36a⁴b⁴

= 25a²b² - 60a³b³ + 36a⁴b⁴

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