-(6x-8)(6+5x)+(6x-8)(-2x-5)

asked by guest
on Nov 24, 2024 at 9:06 am



You asked:

Evaluate the expression: \(-\left( \left(6 x - 8\right) \cdot \left(6 + 5 x\right) \right) + \left(6 x - 8\right) \cdot \left(-\left( 2 x \right) - 5\right)\)

MathBot Answer:

Evaluated



\(\displaystyle -\left( \left(6 x - 8\right) \cdot \left(6 + 5 x\right) \right) + \left(6 x - 8\right) \cdot \left(-\left( 2 x \right) - 5\right) = \left(- 2 x - 5\right) \left(6 x - 8\right) - \left(5 x + 6\right) \left(6 x - 8\right) \)


Expanded

\[-\left( \left(6 x - 8\right) \cdot \left(6 + 5 x\right) \right) + \left(6 x - 8\right) \cdot \left(-\left( 2 x \right) - 5\right) = - 42 x^{2} - 10 x + 88\]


Factored

\[-\left( \left(6 x - 8\right) \cdot \left(6 + 5 x\right) \right) + \left(6 x - 8\right) \cdot \left(-\left( 2 x \right) - 5\right) = - 2 \cdot \left(3 x - 4\right) \left(7 x + 11\right)\]