Math, asked by devanshdhiman74, 1 month ago

Factorise 27x³ + 8y² + 54x²y + 36xy​

Answers

Answered by prakashkolluri67
0

27x

3

−54x

2

y+36xy

2

−7y

3

=27x

3

−54x

2

y+36xy

2

−8y

3

+y

3

=(3x)

3

−3(3x)

3

(2y)+3(3x)(2y)

2

−(2y)

3

+y

3

=(3x−2y)

3

+y

3

=(3x−2y+y)((3x−2y)

2

−(3x−2y)y+y

2

)

=(3x−y)(9x

2

−2(3x)(2y)+(2y)

2

−3xy+2y

2

+y

2

)

=(3x−y)(9x

2

+7y

2

−15xy)

plz mark brainliest

Answered by neerajnegi353
3

Step-by-step explanation:

ANSWER :-

= 27 - 8y² + 54x²y + 36xy

= (3x)³ - (2y)³ - 3 * (3x)² * 2y + 3 * 3x * (2y)²

= 3x - 2y³

I hope it's help you

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