25s²+30s+9 Factorise
Answers
Answered by
0
Answer:
(
5
+
3
)
2
Step-by-step explanation:
How to solve your problem
2
5
2
+
3
0
+
9
25s^{2}+30s+9
25s2+30s+9
Grouping
1
Use the sum-product pattern
2
5
2
+
3
0
+
9
25s^{2}+{\color{#c92786}{30s}}+9
25s2+30s+9
2
5
2
+
1
5
+
1
5
+
9
25s^{2}+{\color{#c92786}{15s}}+{\color{#c92786}{15s}}+9
25s2+15s+15s+9
2
Common factor from the two pairs
2
5
2
+
1
5
+
1
5
+
9
25s^{2}+15s+15s+9
25s2+15s+15s+9
5
(
5
+
3
)
+
3
(
5
+
3
)
5s(5s+3)+3(5s+3)
5s(5s+3)+3(5s+3)
3
Rewrite in factored form
5
(
5
+
3
)
+
3
(
5
+
3
)
5s(5s+3)+3(5s+3)
5s(5s+3)+3(5s+3)
(
5
+
3
)
(
5
+
3
)
(5s+3)(5s+3)
(5s+3)(5s+3)
4
Combine to a square
(
5
+
3
)
(
5
+
3
)
(5s+3)(5s+3)
(5s+3)(5s+3)
(
5
+
3
)
2
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