Respuesta
22+4+20
Explicación paso a paso:
Simplifica
1
Desarrolla el cuadrado
(
+
4
)
2
−
\left(x+4\right)^{2}+(x-2)^{2}
(x+4)2+(x−2)2
(x+4)(x+4)+(x-2)^{2}
(x+4)(x+4)+(x−2)2
Distribuye
{\color{#c92786}{(x+4)(x+4)}}+(x-2)^{2}
{\color{#c92786}{x(x+4)+4(x+4)}}+(x-2)^{2}
x(x+4)+4(x+4)+(x−2)2
3
{\color{#c92786}{x(x+4)}}+4(x+4)+(x-2)^{2}
{\color{#c92786}{x^{2}+4x}}+4(x+4)+(x-2)^{2}
x2+4x+4(x+4)+(x−2)2
x^{2}+4x+{\color{#c92786}{4(x+4)}}+(x-2)^{2}
6
x^{2}+4x+{\color{#c92786}{4x+16}}+(x-2)^{2}
x2+4x+4x+16+(x−2)2
5
Combina los términos semejantes
x^{2}+{\color{#c92786}{4x}}+{\color{#c92786}{4x}}+16+(x-2)^{2}
8
x^{2}+{\color{#c92786}{8x}}+16+(x-2)^{2}
x2+8x+16+(x−2)2
x^{2}+8x+16+\left(x-2\right)^{2}
x^{2}+8x+16+(x-2)(x-2)
x2+8x+16+(x−2)(x−2)
7
x^{2}+8x+16+{\color{#c92786}{(x-2)(x-2)}}
x^{2}+8x+16+{\color{#c92786}{x(x-2)-2(x-2)}}
x2+8x+16+x(x−2)−2(x−2)
x^{2}+8x+16+{\color{#c92786}{x(x-2)}}-2(x-2)
x^{2}+8x+16+{\color{#c92786}{x^{2}-2x}}-2(x-2)
x2+8x+16+x2−2x−2(x−2)
9
x^{2}+8x+16+x^{2}-2x{\color{#c92786}{-2(x-2)}}
x^{2}+8x+16+x^{2}-2x{\color{#c92786}{-2x+4}}
x2+8x+16+x2−2x−2x+4
10
x^{2}+8x+16+x^{2}{\color{#c92786}{-2x}}{\color{#c92786}{-2x}}+4
x^{2}+8x+16+x^{2}{\color{#c92786}{-4x}}+4
x2+8x+16+x2−4x+4
11
Suma los números
x^{2}+8x+{\color{#c92786}{16}}+x^{2}-4x+{\color{#c92786}{4}}
0
x^{2}+8x+{\color{#c92786}{20}}+x^{2}-4x
x2+8x+20+x2−4x
12
{\color{#c92786}{x^{2}}}+8x+20+{\color{#c92786}{x^{2}}}-4x
{\color{#c92786}{2x^{2}}}+8x+20-4x
2x2+8x+20−4x
13
2x^{2}+{\color{#c92786}{8x}}+20{\color{#c92786}{-4x}}
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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