Question

Resuelve A = (x + 6) ^ 2 - (x - 6) ^ 2​

Answer 1

Verified answer

Respuesta:

[tex]\mathrm{A\:=\:\left(x\:+\:6\right)^2\:-\:\left(x\:-\:6\right)^2}[/tex]

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

[tex]\left(x+6\right)^2-\left(x-6\right)^2=A[/tex]

[tex]\left(x+6\right)^2=x^2+12x+36[/tex]

[tex]\left(x-6\right)^2=x^2-12x+36[/tex]

[tex]x^2+12x+36-\left(x^2-12x+36\right)[/tex]

[tex]-\left(x^2-12x+36\right)=-x^2+12x-36[/tex]

[tex]x^2+12x+36-x^2+12x-36=24x[/tex]

Solución:

[tex]\boxed{\mathrm{24x=A}}[/tex]

Saludos...