6x-8{[4x(8x-2y)5z-7x(6x+6y)8y-4]8}-5x(4+8y)

asked by guest
on Jan 18, 2025 at 5:47 pm



You asked:

Evaluate the expression: \(6 x - 8 \cdot \left(4 x \left(8 x - 2 y\right) \cdot 5 z - 7 x \left(6 x + 6 y\right) \cdot 8 y - 4\right) \cdot 8 - 5 x \left(4 + 8 y\right)\)

MathBot Answer:

Evaluated



\(\displaystyle 6 x - 8 \cdot \left(4 x \left(8 x - 2 y\right) \cdot 5 z - 7 x \left(6 x + 6 y\right) \cdot 8 y - 4\right) \cdot 8 - 5 x \left(4 + 8 y\right) = 3584 x y \left(6 x + 6 y\right) - 1280 x z \left(8 x - 2 y\right) - 5 x \left(8 y + 4\right) + 6 x + 256 \)

Expanded

\[6 x - 8 \cdot \left(4 x \left(8 x - 2 y\right) \cdot 5 z - 7 x \left(6 x + 6 y\right) \cdot 8 y - 4\right) \cdot 8 - 5 x \left(4 + 8 y\right) = 21504 x^{2} y - 10240 x^{2} z + 21504 y^{2} x + 2560 x y z - 40 x y - 14 x + 256\]

Factored

\[6 x - 8 \cdot \left(4 x \left(8 x - 2 y\right) \cdot 5 z - 7 x \left(6 x + 6 y\right) \cdot 8 y - 4\right) \cdot 8 - 5 x \left(4 + 8 y\right) = 2 \cdot \left(10752 x^{2} y - 5120 x^{2} z + 10752 y^{2} x + 1280 x y z - 20 x y - 7 x + 128\right)\]

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