=?
Answers
Step-by-step explanation:
Expand the square
(
2
+
4
+
2
)
2
\left(a^{2}+4a+2\right)^{2}
(a2+4a+2)2
(
2
+
4
+
2
)
(
2
+
4
+
2
)
(a^{2}+4a+2)(a^{2}+4a+2)
(a2+4a+2)(a2+4a+2)
2
Distribute
(
2
+
4
+
2
)
(
2
+
4
+
2
)
{\color{#c92786}{(a^{2}+4a+2)(a^{2}+4a+2)}}
(a2+4a+2)(a2+4a+2)
(
2
+
4
+
2
)
⋅
2
+
4
(
2
+
4
+
2
)
+
2
(
2
+
4
+
2
)
{\color{#c92786}{(a^{2}+4a+2) \cdot a^{2}+4a(a^{2}+4a+2)+2(a^{2}+4a+2)}}
(a2+4a+2)⋅a2+4a(a2+4a+2)+2(a2+4a+2)
3
Distribute
(
2
+
4
+
2
)
⋅
2
+
4
(
2
+
4
+
2
)
+
2
(
2
+
4
+
2
)
{\color{#c92786}{(a^{2}+4a+2) \cdot a^{2}}}+4a(a^{2}+4a+2)+2(a^{2}+4a+2)
(a2+4a+2)⋅a2+4a(a2+4a+2)+2(a2+4a+2)
4
+
4
3
+
2
2
+
4
(
2
+
4
+
2
)
+
2
(
2
+
4
+
2
)
{\color{#c92786}{a^{4}+4a^{3}+2a^{2}}}+4a(a^{2}+4a+2)+2(a^{2}+4a+2)
a4+4a3+2a2+4a(a2+4a+2)+2(a2+4a+2)
4
Distribute
4
+
4
3
+
2
2
+
4
(
2
+
4
+
2
)
+
2
(
2
+
4
+
2
)
a^{4}+4a^{3}+2a^{2}+{\color{#c92786}{4a(a^{2}+4a+2)}}+2(a^{2}+4a+2)
a4+4a3+2a2+4a(a2+4a+2)+2(a2+4a+2)
4
+
4
3
+
2
2
+
4
3
+
1
6
2
+
8
+
2
(
2
+
4
+
2
)
a^{4}+4a^{3}+2a^{2}+{\color{#c92786}{4a^{3}+16a^{2}+8a}}+2(a^{2}+4a+2)
a4+4a3+2a2+4a3+16a2+8a+2(a2+4a+2)
5
Distribute
4
+
4
3
+
2
2
+
4
3
+
1
6
2
+
8
+
2
(
2
+
4
+
2
)
a^{4}+4a^{3}+2a^{2}+4a^{3}+16a^{2}+8a+{\color{#c92786}{2(a^{2}+4a+2)}}
a4+4a3+2a2+4a3+16a2+8a+2(a2+4a+2)
4
+
4
3
+
2
2
+
4
3
+
1
6
2
+
8
+
2
2
+
8
+
4
a^{4}+4a^{3}+2a^{2}+4a^{3}+16a^{2}+8a+{\color{#c92786}{2a^{2}+8a+4}}
a4+4a3+2a2+4a3+16a2+8a+2a2+8a+4
6
Combine like terms
4
+
4
3
+
2
2
+
4
3
+
1
6
2
+
8
+
2
2
+
8
+
4
a^{4}+{\color{#c92786}{4a^{3}}}+2a^{2}+{\color{#c92786}{4a^{3}}}+16a^{2}+8a+2a^{2}+8a+4
a4+4a3+2a2+4a3+16a2+8a+2a2+8a+4
4
+
8
3
+
2
2
+
1
6
2
+
8
+
2
2
+
8
+
4
a^{4}+{\color{#c92786}{8a^{3}}}+2a^{2}+16a^{2}+8a+2a^{2}+8a+4
a4+8a3+2a2+16a2+8a+2a2+8a+4
7
Combine like terms
4
+
8
3
+
2
2
+
1
6
2
+
8
+
2
2
+
8
+
4
a^{4}+8a^{3}+{\color{#c92786}{2a^{2}}}+{\color{#c92786}{16a^{2}}}+8a+{\color{#c92786}{2a^{2}}}+8a+4
a4+8a3+2a2+16a2+8a+2a2+8a+4
4
+
8
3
+
2
0
2
+
8
+
8
+
4
a^{4}+8a^{3}+{\color{#c92786}{20a^{2}}}+8a+8a+4
a4+8a3+20a2+8a+8a+4
8
Combine like terms
4
+
8
3
+
2
0
2
+
8
+
8
+
4
a^{4}+8a^{3}+20a^{2}+{\color{#c92786}{8a}}+{\color{#c92786}{8a}}+4
a4+8a3+20a2+8a+8a+4
4
+
8
3
+
2
0
2
+
1
6
+
4
a^{4}+8a^{3}+20a^{2}+{\color{#c92786}{16a}}+4
a4+8a3+20a2+16a+4