cuál es el resultado de:(9n+4m)²=
ayudaaa​

Respuestas

Respuesta dada por: zavaletaangeldavid
0

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:

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