simplify (x+y)(x-y)+x^2+y^2
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⇒ (x + y)(x² - xy + y²)
⇒ x(x² - xy + y²) + y(x² - xy + y²)
⇒ x³ -x²y + xy² +x²y -xy² + y³
⇒ x³ + y³ - x²y + x²y - xy² + xy²
⇒ x³ + y³ (This is actually a identity,you can use while solving problems).,.
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