calcula el cuadrado de cada binomio
Respuestas a la pregunta
Respuesta:
2 al cuadrado x2 al milenio
Explicación paso a paso:
Formula de binomio al cuadrado:
(a ± b)² = a² ± 2ab + b²
1. Calcula el cuadrado de cada binomio
a. (9 + 4m)²
Resolvamos:
(9+4m)² = (9)² + 2(9)(4m) + (4m)²
(9+4m)² = 81 + 72m + 16m²
b. (x¹⁰ - 5y²)²
Resolvamos:
(x¹⁰-5y²)² = (x¹⁰)² - 2(x¹⁰)(5y²) + (5y²)²
(x¹⁰-5y²)² = x²⁰ - 10x¹⁰y² + 25y⁴
c. (2x - 3z)²
Resolvamos:
(2x-3z)² = (2x)² - 2(2x)(3z) + (3z)²
(2x-3z)² = 4x² - 12xz + 9z²
d. (4m⁵ - 5n³)²
Resolvamos:
(4m⁵+5n³)² = (4m⁵)² + 2(4m⁵)(5n³) + (5n³)²
(4m⁵+5n³)² = 16m¹⁰ + 40m⁵n³ + 25n⁶
e. (3w/6 - 1y/2)²
Resolvamos:
(3w/6 - 1y/2)² = (3w/6)² - 2(3w/6)(1y/2) + (1y/2)²
(3w/6 - 1y/2)² = 9w²/36 - 6wy/12 + y²/4
(3w/6 - 1y/2)² = w²/4 - wy/2 + y²/4
f. (5a²/7 + 1n/8)²
Resolvamos:
(5a²/7 + 1n/8)² = (5a²/7)² + 2(5a²/7)(1n/8) + (1n/8)²
(5a²/7 + 1n/8)² = 25a⁴/49 + 10a²n/56 + n²/64
(5a²/7 + 1n/8)² = 25a⁴/49 + 5a²n/28 + n²/64