Explicación paso a paso:
Cubo de un binomio:
1)
(4x+2xy)³ = (4x)³ + 3(4x)²(2xy) + 3(4x)(2xy)² + (2xy)³
(4x+2xy)³ = 64x³+96x²xy+48xxy²+8xy³
2)
(3x³y-2z⁴)³ = (3x³y)³ - 3(3x³y)²(2z⁴) + 3(3x³y)(2z⁴)² - (2z⁴)³
(3x³y-2z⁴)³ = 27x⁹y³-54x⁶y²z⁴+36x³yz⁸-8z¹²
3)
(5m²+2n⁵)³ = (5m²)³ + 3(5m²)²(2n⁵) + 3(5m²)(2n⁵)² + (2n⁵)³
(5m²+2n⁵)³ = 125m⁶+150m⁴n⁵+60m²n¹⁰+8n¹⁵
Cuadrado de un binomio:
(x+8)² = (x)² + 2(x)(8) + (8)²
(x+8)² = x²+16x+64
(m-10)² = (m)² - 2(m)(10) + (10)²
(m-10)² = m²-20m+100
(a-3)² = (a)² - 2(a)(3) + (3)²
(a-3)² = a²-6a+9
4)
(y+1)² = (y)² + 2(y)(1) + (1)²
(y+1)² = y²+2y+1
5)
(p-6)² = (p)² - 2(p)(6) + (6)²
(p-6)² = p²-12p+36
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Explicación paso a paso:
Cubo de un binomio:
1)
(4x+2xy)³ = (4x)³ + 3(4x)²(2xy) + 3(4x)(2xy)² + (2xy)³
(4x+2xy)³ = 64x³+96x²xy+48xxy²+8xy³
2)
(3x³y-2z⁴)³ = (3x³y)³ - 3(3x³y)²(2z⁴) + 3(3x³y)(2z⁴)² - (2z⁴)³
(3x³y-2z⁴)³ = 27x⁹y³-54x⁶y²z⁴+36x³yz⁸-8z¹²
3)
(5m²+2n⁵)³ = (5m²)³ + 3(5m²)²(2n⁵) + 3(5m²)(2n⁵)² + (2n⁵)³
(5m²+2n⁵)³ = 125m⁶+150m⁴n⁵+60m²n¹⁰+8n¹⁵
Cuadrado de un binomio:
1)
(x+8)² = (x)² + 2(x)(8) + (8)²
(x+8)² = x²+16x+64
2)
(m-10)² = (m)² - 2(m)(10) + (10)²
(m-10)² = m²-20m+100
3)
(a-3)² = (a)² - 2(a)(3) + (3)²
(a-3)² = a²-6a+9
4)
(y+1)² = (y)² + 2(y)(1) + (1)²
(y+1)² = y²+2y+1
5)
(p-6)² = (p)² - 2(p)(6) + (6)²
(p-6)² = p²-12p+36