Question

Calcula : M = (x + 5) ^ 2 + (x - 5) ^ 2 - 2x ^ 2​

Answer 1

Respuesta:

[tex]\mathrm{M=\left(x+5\right)^2+\left(x-5\right)^2-2x^2}[/tex]

[tex]\mathrm{Intercambiamos \ lados:}[/tex]

[tex]\left(x+5\right)^2+\left(x-5\right)^2-2x^2=M[/tex]

[tex]\left(x+5\right)^2=x^2+10x+25[/tex]

[tex]\left(x-5\right)^2=x^2-10x+25[/tex]

[tex]x^2+10x+25+x^2-10x+25-2x^2[/tex]

[tex]\mathrm{Agrupamos \ terminos:}[/tex]

[tex]x^2+x^2-2x^2+10x-10x+25+25[/tex]

[tex]x^2+x^2-2x^2=0[/tex]

[tex]\mathrm{Restamos:}[/tex]

[tex]10x-10x=0[/tex]

[tex]25+25=50[/tex]

Solución:

[tex]\boxed{\mathrm{50=M}}[/tex]

Saludos...