4ab ⋅ (2a^(2) - 3ab + b^(2))
You asked:
Evaluate the expression: \(4 a b \cdot \left(2 \cdot {a}^{2} - 3 a b + {b}^{2}\right)\)
MathBot Answer:
Evaluated
\(\displaystyle 4 a b \cdot \left(2 \cdot {a}^{2} - 3 a b + {b}^{2}\right) = 4 a b \left(2 a^{2} - 3 a b + b^{2}\right) \)
Expanded
\[4 a b \cdot \left(2 \cdot {a}^{2} - 3 a b + {b}^{2}\right) = 8 a^{3} b - 12 a^{2} b^{2} + 4 b^{3} a\]
Factored
\[4 a b \cdot \left(2 \cdot {a}^{2} - 3 a b + {b}^{2}\right) = 4 a b \left(2 a - b\right) \left(a - b\right)\]