Math, asked by hridyapai, 1 month ago

factorise using identity 27a^3+ 1/64b^3+27a^2/4b+9a/16b^2​

Answers

Answered by abdulmuqsit302007
0

Answer:

30192+$627#*&@!#&-;@#(+

Step-by-step explanation:

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Answered by crazyqueen44
0

Answer:

Consider the given expression

27a

3

+

64b

3

1

+

4b

27a

2

+

16b

2

9a

………..(1)

We know that (x+y)

3

=x

3

+y

3

+3x

2

y+3xy

2

+y

3

…………(2)

Thus,

27a

3

+

64.b

3

1

+

4b

27.a

2

+

16.b

2

9a

=(3a)

3

+

(4)

3

,b

3

1

+3(3a)

2

.(

4b

1

)+3(3a)(

4b

1

)

2

……….(3)

Comparing the above two equations (2) and (3), we have

x=3a;y=

4b

1

Thus equation (1) becomes.

27a

3

+

64b

3

1

+

4b

27.a

2

+

16.b

2

9a

=[3a+

4b

1

]

3

.

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