Explicación paso a paso:
Binomio al cubo:
(a ± b)³ = a³ ± 3a²b + 3ab² ± b³
Calcula el cuadrado de cada binomio:
Resolvamos:
1)
(2x+3y²)² = (2x)² + 2(2x)(3y²) + (3y²)²
(2x+3y²)² = 4x²+12xy²+9y⁴
2)
(5a³-2b)² = (5a³)² - 2(5a³)(2b) + (2b)²
(5a³-2b)² = 25a⁶-20a³b+4b²
3)
(3x³+2y²)² = (3x³)² + 2(3x³)(2y²) + (2y²)²
(3x³+2y²)² = 9x⁶+12x³y²+4y⁴
4)
(6a-b)² = (6a)² - 2(6a)(b) + (b)²
(6a-b)² = 36a²-12ab+b²
5)
(5x+6y)² = (5x)² + 2(5x)(6y) + (6y)²
(5x+6y)² = 25x²+60xy+36y²
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Explicación paso a paso:
Binomio al cubo:
(a ± b)³ = a³ ± 3a²b + 3ab² ± b³
Calcula el cuadrado de cada binomio:
Resolvamos:
1)
(2x+3y²)² = (2x)² + 2(2x)(3y²) + (3y²)²
(2x+3y²)² = 4x²+12xy²+9y⁴
2)
(5a³-2b)² = (5a³)² - 2(5a³)(2b) + (2b)²
(5a³-2b)² = 25a⁶-20a³b+4b²
3)
(3x³+2y²)² = (3x³)² + 2(3x³)(2y²) + (2y²)²
(3x³+2y²)² = 9x⁶+12x³y²+4y⁴
4)
(6a-b)² = (6a)² - 2(6a)(b) + (b)²
(6a-b)² = 36a²-12ab+b²
5)
(5x+6y)² = (5x)² + 2(5x)(6y) + (6y)²
(5x+6y)² = 25x²+60xy+36y²