(a³ + b³)/(a² - b²)
You asked:
Evaluate the expression: \(\frac{{a}^{3} + {b}^{3}}{{a}^{2} - {b}^{2}}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{{a}^{3} + {b}^{3}}{{a}^{2} - {b}^{2}} = \frac{a^{3} + b^{3}}{a^{2} - b^{2}} \)
Expanded
\[\frac{{a}^{3} + {b}^{3}}{{a}^{2} - {b}^{2}} = \frac{a^{3}}{a^{2} - b^{2}} + \frac{b^{3}}{a^{2} - b^{2}}\]
Factored
\[\frac{{a}^{3} + {b}^{3}}{{a}^{2} - {b}^{2}} = \frac{a^{2} - a b + b^{2}}{a - b}\]