factorizar (x+y)^2-10(x+y)+25

Solución

factorizar

(x + y)^{2} - 10 (x + y) + 25

(x + y - 5)^{2}

Pasos de solución

(x + y)^{2} - 10 (x + y) + 25

Reescribir

(x + y)^{2} - 10 (x + y) + 25

como

(x + y)^{2} - 2 (x + y) \cdot 5 + 5^{2}

= (x + y)^{2} - 2 (x + y) \cdot 5 + 5^{2}

Aplicar la formula del binomio al cuadrado:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = (x + y), b = 5

= ((x + y) - 5)^{2}

Simplificar

= (x + y - 5)^{2}

8 a^{6} b^{3} + 125 c^{3}

(x + 5) (x + 5)

a m^{2} + b m^{2} + a n^{2} + b n^{2}

\frac{x - 1}{x - 1}

4^{2} - 9