6a^2b(5ab− 3ab^2)

asked by guest
on Oct 23, 2024 at 7:18 am



You asked:

Evaluate the expression: \(6 \cdot {a}^{2} \cdot b \cdot \left(5 a b - 3 a \cdot {b}^{2}\right)\)

MathBot Answer:

Evaluated



\(\displaystyle 6 \cdot {a}^{2} \cdot b \cdot \left(5 a b - 3 a \cdot {b}^{2}\right) = 6 a^{2} b \left(- 3 b^{2} a + 5 a b\right) \)


Expanded

\[6 \cdot {a}^{2} \cdot b \cdot \left(5 a b - 3 a \cdot {b}^{2}\right) = - 18 a^{3} b^{3} + 30 a^{3} b^{2}\]


Factored

\[6 \cdot {a}^{2} \cdot b \cdot \left(5 a b - 3 a \cdot {b}^{2}\right) = - 6 a^{3} b^{2} \cdot \left(3 b - 5\right)\]