(-5x+4)(8-4x)+(4-5x)(5-6x)

asked by guest
on Nov 26, 2024 at 1:20 pm



You asked:

Evaluate the expression: \(\left(-\left( 5 x \right) + 4\right) \cdot \left(8 - 4 x\right) + \left(4 - 5 x\right) \cdot \left(5 - 6 x\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left(-\left( 5 x \right) + 4\right) \cdot \left(8 - 4 x\right) + \left(4 - 5 x\right) \cdot \left(5 - 6 x\right) = \left(4 - 5 x\right) \left(5 - 6 x\right) + \left(4 - 5 x\right) \left(8 - 4 x\right) \)

Expanded

\[\left(-\left( 5 x \right) + 4\right) \cdot \left(8 - 4 x\right) + \left(4 - 5 x\right) \cdot \left(5 - 6 x\right) = 50 x^{2} - 105 x + 52\]

Factored

\[\left(-\left( 5 x \right) + 4\right) \cdot \left(8 - 4 x\right) + \left(4 - 5 x\right) \cdot \left(5 - 6 x\right) = \left(5 x - 4\right) \left(10 x - 13\right)\]

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