Math, asked by vanshikajadon8207, 10 months ago

Factorise 4(x+y) ^3 - 25(x+y)

Answers

Answered by AlluringNightingale
30

Answer:

(x + y)•(2x + 2y + 5)•(2x + 2y - 5)

Solution:

Here,

The given polynomial is :

4(x + y)³ - 25(x + y)

We need to factorize the given polynomial .

Thus,

Here we go ↓

=> 4(x + y)³ - 25(x + y)

=> (x + y)•[ 4(x + y)² - 25 ]

=> (x + y)•[ {2(x + y)}² - 5² ]

=> (x + y)•[ 2(x + y) + 5 ]•[ 2(x + y) - 5 ]

=> (x + y)•(2x + 2y + 5)•(2x + 2y - 5)

Hence,

Required answer is ;

(x + y)•(2x + 2y + 5)•(2x + 2y - 5)

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