Otros488 views·Updated Jun 25, 2026·1 page

Cómo Resolver Binomios al Cuadrado

Alma Sofia Lorenzo Rueda@almasofialorenz

¿Alguna vez te has preguntado cómo expandir rápidamente expresiones como...

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--- OCR Start ---
Acti
Binomios al cuadrado.
6/5/20
Binomio al Expresion desarrollada
cuadrado
(x+2x)² (x+2)(x+2x)
(3x+4)² (3x+4) (3x+4)
Res

Binomios al cuadrado - Ejemplos prácticos

Cuando tienes un binomio al cuadrado como $x+2$ ², lo que realmente estás haciendo es multiplicar $x+2$ $x+2$ . Pero hay un patrón que puedes memorizar para hacerlo más rápido.

Fíjate en estos ejemplos: $x+5$ ² se convierte en x² + 10x + 25, y $3x+4$ ² se transforma en 9x² + 24x + 16. ¿Notas el patrón? El primer término se eleva al cuadrado, luego tienes 2 veces el primer término por el segundo, y finalmente el segundo término al cuadrado.

Para $2x+8$ ², obtienes 4x² + 32x + 64. El proceso es siempre el mismo: cuadrado del primero + doble producto + cuadrado del segundo. Con práctica, podrás hacerlo mentalmente sin necesidad de multiplicar término por término.

Tip clave: La fórmula $a+b$ ² = a² + 2ab + b² te funcionará siempre. Memorízala y te ahorrará muchísimo tiempo en los exámenes.

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