find the factor of x-y
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Answer:
→ (x + y)³ - (x³ + y³)
Step-by-step explanation:
using (a³ + b³) = (a + b)(a² + b² - ab) we get,
→ (x + y)³ - (x+y)(x² + y² - xy)
Taking (x + y) common Now, we get,
→ (x + y)[(x + y)² - (x² + y² - xy)]
Now, Using (a+b)² = a² + b² + 2ab we get,
→ (x + y)[(x² + y² + 2xy) - (x² + y² - xy)]
→ (x + y)[x² + y² + 2xy - x² - y² + xy)]
→ (x + y)[ 2xy + xy ]
→ (x + y) * (3xy)
hope it is help full
thank you
Answered by
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(x+y)^3-(x^3+x^3)
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