Matemáticas, pregunta formulada por epepe6038, hace 4 meses

(x + 4)^2 + (x - 2)^2

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Respuestas a la pregunta

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1

Respuesta

22+4+20

Explicación paso a paso:

Simplifica

1

Desarrolla el cuadrado

(

+

4

)

2

+

(

2

)

2

\left(x+4\right)^{2}+(x-2)^{2}

(x+4)2+(x−2)2

(

+

4

)

(

+

4

)

+

(

2

)

2

(x+4)(x+4)+(x-2)^{2}

(x+4)(x+4)+(x−2)2

2

Distribuye

(

+

4

)

(

+

4

)

+

(

2

)

2

{\color{#c92786}{(x+4)(x+4)}}+(x-2)^{2}

(x+4)(x+4)+(x−2)2

(

+

4

)

+

4

(

+

4

)

+

(

2

)

2

{\color{#c92786}{x(x+4)+4(x+4)}}+(x-2)^{2}

x(x+4)+4(x+4)+(x−2)2

3

Distribuye

(

+

4

)

+

4

(

+

4

)

+

(

2

)

2

{\color{#c92786}{x(x+4)}}+4(x+4)+(x-2)^{2}

x(x+4)+4(x+4)+(x−2)2

2

+

4

+

4

(

+

4

)

+

(

2

)

2

{\color{#c92786}{x^{2}+4x}}+4(x+4)+(x-2)^{2}

x2+4x+4(x+4)+(x−2)2

4

Distribuye

2

+

4

+

4

(

+

4

)

+

(

2

)

2

x^{2}+4x+{\color{#c92786}{4(x+4)}}+(x-2)^{2}

x2+4x+4(x+4)+(x−2)2

2

+

4

+

4

+

1

6

+

(

2

)

2

x^{2}+4x+{\color{#c92786}{4x+16}}+(x-2)^{2}

x2+4x+4x+16+(x−2)2

5

Combina los términos semejantes

2

+

4

+

4

+

1

6

+

(

2

)

2

x^{2}+{\color{#c92786}{4x}}+{\color{#c92786}{4x}}+16+(x-2)^{2}

x2+4x+4x+16+(x−2)2

2

+

8

+

1

6

+

(

2

)

2

x^{2}+{\color{#c92786}{8x}}+16+(x-2)^{2}

x2+8x+16+(x−2)2

6

Desarrolla el cuadrado

2

+

8

+

1

6

+

(

2

)

2

x^{2}+8x+16+\left(x-2\right)^{2}

x2+8x+16+(x−2)2

2

+

8

+

1

6

+

(

2

)

(

2

)

x^{2}+8x+16+(x-2)(x-2)

x2+8x+16+(x−2)(x−2)

7

Distribuye

2

+

8

+

1

6

+

(

2

)

(

2

)

x^{2}+8x+16+{\color{#c92786}{(x-2)(x-2)}}

x2+8x+16+(x−2)(x−2)

2

+

8

+

1

6

+

(

2

)

2

(

2

)

x^{2}+8x+16+{\color{#c92786}{x(x-2)-2(x-2)}}

x2+8x+16+x(x−2)−2(x−2)

8

Distribuye

2

+

8

+

1

6

+

(

2

)

2

(

2

)

x^{2}+8x+16+{\color{#c92786}{x(x-2)}}-2(x-2)

x2+8x+16+x(x−2)−2(x−2)

2

+

8

+

1

6

+

2

2

2

(

2

)

x^{2}+8x+16+{\color{#c92786}{x^{2}-2x}}-2(x-2)

x2+8x+16+x2−2x−2(x−2)

9

Distribuye

2

+

8

+

1

6

+

2

2

2

(

2

)

x^{2}+8x+16+x^{2}-2x{\color{#c92786}{-2(x-2)}}

x2+8x+16+x2−2x−2(x−2)

2

+

8

+

1

6

+

2

2

2

+

4

x^{2}+8x+16+x^{2}-2x{\color{#c92786}{-2x+4}}

x2+8x+16+x2−2x−2x+4

10

Combina los términos semejantes

2

+

8

+

1

6

+

2

2

2

+

4

x^{2}+8x+16+x^{2}{\color{#c92786}{-2x}}{\color{#c92786}{-2x}}+4

x2+8x+16+x2−2x−2x+4

2

+

8

+

1

6

+

2

4

+

4

x^{2}+8x+16+x^{2}{\color{#c92786}{-4x}}+4

x2+8x+16+x2−4x+4

11

Suma los números

2

+

8

+

1

6

+

2

4

+

4

x^{2}+8x+{\color{#c92786}{16}}+x^{2}-4x+{\color{#c92786}{4}}

x2+8x+16+x2−4x+4

2

+

8

+

2

0

+

2

4

x^{2}+8x+{\color{#c92786}{20}}+x^{2}-4x

x2+8x+20+x2−4x

12

Combina los términos semejantes

2

+

8

+

2

0

+

2

4

{\color{#c92786}{x^{2}}}+8x+20+{\color{#c92786}{x^{2}}}-4x

x2+8x+20+x2−4x

2

2

+

8

+

2

0

4

{\color{#c92786}{2x^{2}}}+8x+20-4x

2x2+8x+20−4x

13

Combina los términos semejantes

2

2

+

8

+

2

0

4

2x^{2}+{\color{#c92786}{8x}}+20{\color{#c92786}{-4x}}

2x2+8x+20−4x

2

2

+

4

+

2

0

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