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(a^(2)-ab+b^(2))/(a^(3)+b^(3))

a2−ab+b2a3+b3 \frac{a^{2}-a b+b^{2}}{a^{3}+b^{3}}

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Find derivatives of using multiple formulaeright chevron icon

Full solution

Q. a2−ab+b2a3+b3 \frac{a^{2}-a b+b^{2}}{a^{3}+b^{3}}
  1. Recognize sum of cubes formula: Recognize the sum of cubes formula in the denominator: a3+b3=(a+b)(a2−ab+b2)a^3 + b^3 = (a + b)(a^2 - ab + b^2).
  2. Notice numerator perfect square formula: Notice the numerator is a perfect square formula: a2−ab+b2=(a−b)2+aba^2 - ab + b^2 = (a - b)^2 + ab.

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