Question

Desarrollar utilizando productos notables:


(½x²y+¼xy²)²

ayuda por favor qwp​

Answer 1

Respuesta:

(1/2x²+1/4y²)² = 1/4x⁴y²+1/4x³y³+1/16x²y⁴

Explicación paso a paso:

Formula de binomio al  cuadrado:

(a ± b)² = a² ± 2ab + b²

Resolvamos:

(1/2x²y+1/4xy²)² = (1/2x²y)² + 2(1/2x²y)(1/4xy²) + (1/4xy²)²

(1/2x²+1/4y²)² = 1/4x⁴y²+2/8x³y³+1/16x²y⁴

(1/2x²+1/4y²)² = 1/4x⁴y²+1/4x³y³+1/16x²y⁴