question 8(x+y)^3-50(x+y)
ans 2(x+y) ( 2x+2y-5) (2x+2y+5)
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question 8(x+y)^3-50(x+y)
ans 2(x+y) ( 2x+2y-5) (2x+2y+5)
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Verified answer
Given :
Factories
8(x+y)^3-50(x+y)
Solution :
= 8(x+y)³ - 50(x+y)
Take 2(x+y) as a common
= 2(x+y)[4(x+y)² - 25]
Applying identity a²-b² = (a+b)(a-b)
= 2(x+y) [{2(x+y)}² - (5)²]
= 2(x+y) [(2x+2y+5)(2x+2y-5)]
= 2(x+y)(2x+2y+5)(2x+2y-5)
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