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