Simplify: a4−a3b−ab3+b4a4+a3b−ab3−b4

a4−a3b−ab3+b4a4+a3b−ab3−b4a3(a−b)−b3(a−b)a3(a+b)−b3(a+b)=a3−b3(a−b)a3−b3(a+b)=a−ba+b

a4−a3b−ab3+b4a4+a3b−ab3−b4a3(a−b)−b3(a−b)a3(a+b)−b3(a+b)=a3−b3(a−b)a3−b3(a+b)=a−ba+b

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_Simplify: $\frac{a^{4} - a^{3} b - a b^{3} + b^{4}}{a^{4} + a^{3} b - a b^{3} - b^{4}}$

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$\frac{(a - b)^{2}}{a + b}$

$\frac{a - b}{a + b}$

$\frac{a^{2} - b^{2}}{a^{2} + b^{2}}$

answer is C.

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$\frac{a^{4} - a^{3} b - a b^{3} + b^{4}}{a^{4} + a^{3} b - a b^{3} - b^{4}}$

$\frac{a^{3} (a - b) - b^{3} (a - b)}{a^{3} (a + b) - b^{3} (a + b)} = \frac{(a^{3} - b^{3}) (a - b)}{(a^{3} - b^{3}) (a + b)} = \frac{a - b}{a + b}$

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