Usamos la fórmula del binomio al cuadrado.
La fórmula es: [tex]\bf{\left(a\:\pm\:b\right)^2=a^2\pm2ab+b^2}[/tex]
La aplicamos al ejercicio:
[tex]\left(m+3\right)^2=\bf{m^2+2m\cdot \:3+3^2\\\\[/tex]
[tex]=m^2+2m\cdot \:3+3^2[/tex]
Ahora resolvemos:
[tex]m^2=m^2\\\\2m\cdot3=6m\\\\3^2=3\cdot3=9\\\\\boxed{=m^2+6m+9}[/tex]
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Verified answer
RESOLVER:
[tex]\left(m+3\right)^2[/tex]
Usamos la fórmula del binomio al cuadrado.
La fórmula es: [tex]\bf{\left(a\:\pm\:b\right)^2=a^2\pm2ab+b^2}[/tex]
La aplicamos al ejercicio:
[tex]\left(m+3\right)^2=\bf{m^2+2m\cdot \:3+3^2\\\\[/tex]
[tex]=m^2+2m\cdot \:3+3^2[/tex]
Ahora resolvemos:
[tex]m^2=m^2\\\\2m\cdot3=6m\\\\3^2=3\cdot3=9\\\\\boxed{=m^2+6m+9}[/tex]
MUCHA SUERTE...