(a+b)(a-b)^2(ab)^3+(a+b)
You asked:
Evaluate the expression: \(\left(a + b\right) \cdot {\left( a - b \right)}^{2} \cdot {\left( a b \right)}^{3} + a + b\)
MathBot Answer:
Evaluated
\(\displaystyle \left(a + b\right) \cdot {\left( a - b \right)}^{2} \cdot {\left( a b \right)}^{3} + a + b = a^{3} b^{3} \left(a - b\right)^{2} \left(a + b\right) + a + b \)
Expanded
\[\left(a + b\right) \cdot {\left( a - b \right)}^{2} \cdot {\left( a b \right)}^{3} + a + b = a^{6} b^{3} - a^{5} b^{4} - a^{4} b^{5} + a^{3} b^{6} + a + b\]
Factored
\[\left(a + b\right) \cdot {\left( a - b \right)}^{2} \cdot {\left( a b \right)}^{3} + a + b = \left(a + b\right) \left(a^{5} b^{3} - 2 a^{4} b^{4} + a^{3} b^{5} + 1\right)\]