Matemática
arsenio
3

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

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(1) Respostas
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a) = (2x + 4y)² = (2x)² + 2.2x.4y + (4y)² = 4x² + 16xy + 16y² *************************************** b) = (x² + 2y³)² = (x²)² + 2.x².2y³ + (2y³)² = x⁴ + 4x²y³ + 4y⁶ ******************************************* c) = (3a³ - 2b²)² = (3a³)² - 2.3a³.2b² + (2b²)² = 9a⁶ - 12a³b² + 4b⁴ *************************************************** d) = (x - 4)² = x² - 2.4x + 4² = x² - 8x + 16 ************************************** e) = (8a³b⁴ + 3x^5 y^6)² = (8a³b⁴)² + 2.8a³b⁴.3x⁵y⁶ + (3x⁵y⁶)² = 64a⁶b⁸ + 48a³b⁴x⁵y⁶ + 9x¹⁰y¹² ****************************************************** f) = (5ab - 6a²b²)² = (5ab)² - 2.5ab. 6a²b² + (6a²b²)² = 25a²b² - 10ab.6a²b² + 36a⁴b⁴ = 25a²b² - 60a³b³ + 36a⁴b⁴ ************************************************

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