simplify (a+7)(a^2+3a+5)
Answers
Answer:
a³ + 10a² + 26a + 35
Step-by-step explanation:
(
+
7
)
(
2
+
3
+
5
)
(
2
+
3
+
5
)
+
7
(
2
+
3
+
5
)
(
2
+
3
+
5
)
+
7
(
2
+
3
+
5
)
{\color{#c92786}{a(a^{2}+3a+5)}}+7(a^{2}+3a+5)
a(a2+3a+5)+7(a2+3a+5)
3
+
3
2
+
5
+
7
(
2
+
3
+
5
)
{\color{#c92786}{a^{3}+3a^{2}+5a}}+7(a^{2}+3a+5)
a3+3a2+5a+7(a2+3a+5)
3
Distribute
3
+
3
2
+
5
+
7
(
2
+
3
+
5
)
a^{3}+3a^{2}+5a+{\color{#c92786}{7(a^{2}+3a+5)}}
a3+3a2+5a+7(a2+3a+5)
3
+
3
2
+
5
+
7
2
+
2
1
+
3
5
a^{3}+3a^{2}+5a+{\color{#c92786}{7a^{2}+21a+35}}
a3+3a2+5a+7a2+21a+35
4
Combine like terms
3
+
3
2
+
5
+
7
2
+
2
1
+
3
5
a^{3}+{\color{#c92786}{3a^{2}}}+5a+{\color{#c92786}{7a^{2}}}+21a+35
a3+3a2+5a+7a2+21a+35
3
+
1
0
2
+
5
+
2
1
+
3
5
a^{3}+{\color{#c92786}{10a^{2}}}+5a+21a+35
a3+10a2+5a+21a+35
5
Combine like terms
3
+
1
0
2
+
5
+
2
1
+
3
5
a^{3}+10a^{2}+{\color{#c92786}{5a}}+{\color{#c92786}{21a}}+35
a3+10a2+5a+21a+35
3
+
1
0
2
+
2
6
+
3
5