Verify x3
+y
3
=(x+y) (x2
–xy+y
2
)
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Answered by
0
Answer:
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Step-by-step explanation:
x³ + y³ = (x+y) (x² -xy+y ²)
RHS = (x+y) (x² -xy+y ²)
= x (x² -xy+y ²) + y (x² -xy+y ²)
= x³ - x²y + xy² + x²y - xy² + y³
= x³ - x²y + x²y + xy² - xy² + x³
= x³ + 0 + 0 + y³
= x³ + y³
RHS = LHS
x³ + y³ = (x+y) (x² -xy+y ²) ------------- (is proved)
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