Which of the following is a factor of (x+y)³_(x³+y³)?
1. X²+xy+y²
2. X²-xy+y²
3. Xy²
4. 3xy
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Answer:
Step-by-step explanation:
(x+y)³-(x³+y³)
=(x+y)³-{(x+y)(x²-xy+y²)}
=(x+y)[(x+y)²-(x²-xy+y²)]
=(x+y)(x²+y²+2xy-x²+xy-y²)
=(x+y) (3xy)
Answer is option (3) 3xy
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