Optional extension Simplify $\dfrac{18a^5b^7(x^4+y^4)}{12a^{-2}b^3(x^8-y^8)}$. State the restricti

Question

Optional extension Simplify $\dfrac{18a^5b^7(x^4+y^4)}{12a^{-2}b^3(x^8-y^8)}$. State the restrictions on the original expression.

Accepted Answer

$\dfrac{3 a^{7} b^{4}}{2 \left(x - y\right) \left(x + y\right) \left(x^{2} + y^{2}\right)}$ where $b\ne0,\ x - y\ne0,\ x + y\ne0,\ x^{2} + y^{2}\ne0,\ x^{4} + y^{4}\ne0,\ a\ne0$

Advanced fraction and index simplification

Advanced fraction and index simplification

Solution:

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