Simplify:
(a) 15
-6a(a-2)+a (3 + 7a)
(b) (x+3y) (-2x-y) – (x+y) (x+y) + (x - 4y) (-4x + 2y)
Answers
Answer:
Step-by-step explanation:
How to solve your question
Your question is
1
5
−
6
(
−
2
)
+
(
3
+
7
)
15-6a(a-2)+a(3+7a)
15−6a(a−2)+a(3+7a)
Simplify
1
Distribute
1
5
−
6
(
−
2
)
+
(
3
+
7
)
15{\color{#c92786}{-6a(a-2)}}+a(3+7a)
15−6a(a−2)+a(3+7a)
1
5
−
6
2
+
1
2
+
(
3
+
7
)
15{\color{#c92786}{-6a^{2}+12a}}+a(3+7a)
15−6a2+12a+a(3+7a)
2
Rearrange terms
1
5
−
6
2
+
1
2
+
(
3
+
7
)
15-6a^{2}+12a+a({\color{#c92786}{3+7a}})
15−6a2+12a+a(3+7a)
1
5
−
6
2
+
1
2
+
(
7
+
3
)
15-6a^{2}+12a+a({\color{#c92786}{7a+3}})
15−6a2+12a+a(7a+3)
3
Distribute
1
5
−
6
2
+
1
2
+
(
7
+
3
)
15-6a^{2}+12a+{\color{#c92786}{a(7a+3)}}
15−6a2+12a+a(7a+3)
1
5
−
6
2
+
1
2
+
7
2
+
3
15-6a^{2}+12a+{\color{#c92786}{7a^{2}+3a}}
15−6a2+12a+7a2+3a
4
Combine like terms
1
5
−
6
2
+
1
2
+
7
2
+
3
15{\color{#c92786}{-6a^{2}}}+12a+{\color{#c92786}{7a^{2}}}+3a
15−6a2+12a+7a2+3a
1
5
+
1
2
+
1
2
+
3
15+{\color{#c92786}{1a^{2}}}+12a+3a
15+1a2+12a+3a
5
Multiply by 1
1
5
+
1
2
+
1
2
+
3
15+1a^{2}+12a+3a
15+1a2+12a+3a
1
5
+
2
+
1
2
+
3
15+a^{2}+12a+3a
15+a2+12a+3a
6
Combine like terms
1
5
+
2
+
1
2
+
3
15+a^{2}+{\color{#c92786}{12a}}+{\color{#c92786}{3a}}
15+a2+12a+3a
1
5
+
2
+
1
5
15+a^{2}+{\color{#c92786}{15a}}
15+a2+15a
7
Rearrange terms
1
5
+
2
+
1
5
{\color{#c92786}{15+a^{2}+15a}}
15+a2+15a
2
+
1
5
+
1
5
(b)
