(5ab-b)(-a-4ab)

asked by guest
on Jan 25, 2025 at 12:59 am



You asked:

Evaluate the expression: \(\left(5 a b - b\right) \left(-a - 4 a b\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left(5 a b - b\right) \left(-a - 4 a b\right) = \left(- 4 a b - a\right) \left(5 a b - b\right) \)


Expanded

\[\left(5 a b - b\right) \left(-a - 4 a b\right) = - 20 a^{2} b^{2} - 5 a^{2} b + 4 b^{2} a + a b\]


Factored

\[\left(5 a b - b\right) \left(-a - 4 a b\right) = - a b \left(5 a - 1\right) \left(4 b + 1\right)\]