Final Answer
Step-by-step Solution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x+y$ and $g=x^2-xy+y^2$
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$\frac{d}{dx}\left(x+y\right)\left(x^2-xy+y^2\right)+\left(x+y\right)\frac{d}{dx}\left(x^2-xy+y^2\right)$
Learn how to solve simplification of algebraic expressions problems step by step online. Find the derivative of (x+y)(x^2-xyy^2). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x+y and g=x^2-xy+y^2. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function is equal to 1.