4ab(5asquaredbsquared+2ab-3)
You asked:
Evaluate the expression: \(4 a \cdot b \cdot \left(5 \cdot {a}^{2} \cdot {b}^{2} + 2 a b - 3\right)\)
MathBot Answer:
Evaluated
\(\displaystyle 4 a \cdot b \cdot \left(5 \cdot {a}^{2} \cdot {b}^{2} + 2 a b - 3\right) = 4 a b \left(5 a^{2} b^{2} + 2 a b - 3\right) \)
Expanded
\[4 a \cdot b \cdot \left(5 \cdot {a}^{2} \cdot {b}^{2} + 2 a b - 3\right) = 20 a^{3} b^{3} + 8 a^{2} b^{2} - 12 a b\]
Factored
\[4 a \cdot b \cdot \left(5 \cdot {a}^{2} \cdot {b}^{2} + 2 a b - 3\right) = 4 a b \left(a b + 1\right) \left(5 a b - 3\right)\]