expand the following (b+2)^2
Answers
Answered by
1
Step-by-step explanation:
(b+2)^2
=(b)^2+2×b×2+(2)^2
=b^2+4b+4
Answered by
0
Step-by-step explanation:
(
+
2
)
2
(b+2)^{2}
(b+2)2
Simplify
1
Expand the square
(
+
2
)
2
(b+2)^{2}
(b+2)2
(
+
2
)
(
+
2
)
(b+2)(b+2)
(b+2)(b+2)
2
Distribute
(
+
2
)
(
+
2
)
{\color{#c92786}{(b+2)(b+2)}}
(b+2)(b+2)
(
+
2
)
+
2
(
+
2
)
{\color{#c92786}{b(b+2)+2(b+2)}}
b(b+2)+2(b+2)
3
Distribute
(
+
2
)
+
2
(
+
2
)
{\color{#c92786}{b(b+2)}}+2(b+2)
b(b+2)+2(b+2)
2
+
2
+
2
(
+
2
)
{\color{#c92786}{b^{2}+2b}}+2(b+2)
b2+2b+2(b+2)
4
Distribute
2
+
2
+
2
(
+
2
)
b^{2}+2b+{\color{#c92786}{2(b+2)}}
b2+2b+2(b+2)
2
+
2
+
2
+
4
b^{2}+2b+{\color{#c92786}{2b+4}}
b2+2b+2b+4
5
Combine like terms
2
+
2
+
2
+
4
b^{2}+{\color{#c92786}{2b}}+{\color{#c92786}{2b}}+4
b2+2b+2b+4
2
+
4
+
4
b^{2}+{\color{#c92786}{4b}}+4
b2+4b+4
Solution
2
+
4
+
4
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