(x-y)(x² + xy + y²) =
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Answer:
(x+y)(x² - xy + y²)
= x ( x² - xy + y² ) +y ( x² - xy + y²)
= x³ - x²y + xy² +yx² -xy² + y³
= x³ + y³
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To simplify (x + -y)(x² - xy + y²)
→ (x+y)(x² - xy + y²)
⇒ x(x² - xy + y²) + y(x² - xy + y²)
x³ -x²y + xy² +x²y-xy² + y²
⇒x³+y³ - xy² + xy²
⇒x³+y³ (This is actually a identity,you can use while solving
problems)...
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