Factorise 9a (6a -5b) (6a-5b)
Answers
Answer:
Solution
3
2
4
3
+
2
2
5
2
−
5
4
0
2
Step-by-step explanation:
9
(
6
−
5
)
(
6
−
5
)
{\color{#c92786}{9a(6a-5b)(6a-5b)}}
9a(6a−5b)(6a−5b)
5
4
(
6
−
5
)
⋅
2
−
4
5
(
6
−
5
)
{\color{#c92786}{54(6a-5b) \cdot a^{2}-45ab(6a-5b)}}
54(6a−5b)⋅a2−45ab(6a−5b)
2
Distribute
5
4
(
6
−
5
)
⋅
2
−
4
5
(
6
−
5
)
{\color{#c92786}{54(6a-5b) \cdot a^{2}}}-45ab(6a-5b)
54(6a−5b)⋅a2−45ab(6a−5b)
3
2
4
3
−
2
7
0
2
−
4
5
(
6
−
5
)
{\color{#c92786}{324a^{3}-270ba^{2}}}-45ab(6a-5b)
324a3−270ba2−45ab(6a−5b)
3
Distribute
3
2
4
3
−
2
7
0
2
−
4
5
(
6
−
5
)
324a^{3}-270ba^{2}{\color{#c92786}{-45ab(6a-5b)}}
324a3−270ba2−45ab(6a−5b)
3
2
4
3
−
2
7
0
2
−
2
7
0
2
+
2
2
5
2
3
2
4
3
−
2
7
0
2
−
2
7
0
2
+
2
2
5
2
324a^{3}-270ba^{2}{\color{#c92786}{-270ba^{2}+225ab^{2}}}
324a3−270ba2−270ba2+225ab2
3
2
4
3
−
2
7
0
2
+
2
2
5
2
−
2
7
0
2
324a^{3}-270ba^{2}+{\color{#c92786}{225ab^{2}-270ba^{2}}}
324a3−270ba2+225ab2−270ba2
5
Combine like terms
3
2
4
3
−
2
7
0
2
+
2
2
5
2
−
2
7
0
2
324a^{3}{\color{#c92786}{-270ba^{2}}}+225ab^{2}{\color{#c92786}{-270ba^{2}}}
324a3−270ba2+225ab2−270ba2
3
2
4
3
−
5
4
0
2
+
2
2
5
2
324a^{3}{\color{#c92786}{-540ba^{2}}}+225ab^{2}
324a3−540ba2+225ab2
6
Rearrange terms
3
2
4
3
−
5
4
0
2
+
2
2
5
2
{\color{#c92786}{324a^{3}-540ba^{2}+225ab^{2}}}
324a3−540ba2+225ab2
3
2
4
3
+
2
2
5
2
−
5
4
0
2