Math, asked by shashankyadav1529, 1 month ago

Factorise 9a (6a -5b) (6a-5b)

Answers

Answered by desalejeet
1

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

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