cuál es el resultado de:(9n+4m)²=
ayudaaa
Respuestas a la pregunta
Respuesta:
( 9 + 4 ) 2Simplifica
1
Reordenar términos
(
9
+
4
)
2
({\color{#c92786}{9n+4m}})^{2}
(9n+4m)2
(
4
+
9
)
2
({\color{#c92786}{4m+9n}})^{2}
(4m+9n)2
2
Desarrolla el cuadrado
(
4
+
9
)
2
\left(4m+9n\right)^{2}
(4m+9n)2
(
4
+
9
)
(
4
+
9
)
(4m+9n)(4m+9n)
(4m+9n)(4m+9n)
3
Distribuye
(
4
+
9
)
(
4
+
9
)
{\color{#c92786}{(4m+9n)(4m+9n)}}
(4m+9n)(4m+9n)
4
(
4
+
9
)
+
9
(
4
+
9
)
{\color{#c92786}{4m(4m+9n)+9n(4m+9n)}}
4m(4m+9n)+9n(4m+9n)
4
Distribuye
4
(
4
+
9
)
+
9
(
4
+
9
)
{\color{#c92786}{4m(4m+9n)}}+9n(4m+9n)
4m(4m+9n)+9n(4m+9n)
1
6
2
+
3
6
+
9
(
4
+
9
)
{\color{#c92786}{16m^{2}+36mn}}+9n(4m+9n)
16m2+36mn+9n(4m+9n)
5
Distribuye
1
6
2
+
3
6
+
9
(
4
+
9
)
16m^{2}+36mn+{\color{#c92786}{9n(4m+9n)}}
16m2+36mn+9n(4m+9n)
1
6
2
+
3
6
+
3
6
+
8
1
2
16m^{2}+36mn+{\color{#c92786}{36mn+81n^{2}}}
16m2+36mn+36mn+81n2
6
Combina los términos semejantes
1
6
2
+
3
6
+
3
6
+
8
1
2
16m^{2}+{\color{#c92786}{36mn}}+{\color{#c92786}{36mn}}+81n^{2}
16m2+36mn+36mn+81n2
1
6
2
+
7
2
+
8
1
2
16m^{2}+{\color{#c92786}{72mn}}+81n^{2}
16m2+72mn+81n2
Solución
1
6
2
+
7
2
+
8
1
2
Explicación paso a paso: