(4a-3b)(-3a+1b)(+2a+3b)

asked by guest
on Jan 25, 2025 at 6:54 am



You asked:

Evaluate the expression: \(\left(4 a - 3 b\right) \left(-\left( 3 a \right) + 1 b\right) \left(2 a + 3 b\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left(4 a - 3 b\right) \left(-\left( 3 a \right) + 1 b\right) \left(2 a + 3 b\right) = \left(- 3 a + b\right) \left(2 a + 3 b\right) \left(4 a - 3 b\right) \)


Expanded

\[\left(4 a - 3 b\right) \left(-\left( 3 a \right) + 1 b\right) \left(2 a + 3 b\right) = - 24 a^{3} - 10 a^{2} b + 33 b^{2} a - 9 b^{3}\]


Factored

\[\left(4 a - 3 b\right) \left(-\left( 3 a \right) + 1 b\right) \left(2 a + 3 b\right) = - \left(2 a + 3 b\right) \left(3 a - b\right) \left(4 a - 3 b\right)\]