(2a - 3b) (5-a +2b)

asked by guest
on Nov 14, 2024 at 5:30 pm



You asked:

Evaluate the expression: \(\left(2 a - 3 b\right) \cdot \left(5 - a + 2 b\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left(2 a - 3 b\right) \cdot \left(5 - a + 2 b\right) = \left(2 a - 3 b\right) \left(- a + 2 b + 5\right) \)


Expanded

\[\left(2 a - 3 b\right) \cdot \left(5 - a + 2 b\right) = - 2 a^{2} + 7 a b + 10 a - 6 b^{2} - 15 b\]


Factored

\[\left(2 a - 3 b\right) \cdot \left(5 - a + 2 b\right) = - \left(2 a - 3 b\right) \left(a - 2 b - 5\right)\]