simplify 16-6x(4x((5/3)-(3/2x)))-3((4x/3)-(5/6x))-36x

asked by guest
on Sep 20, 2024 at 2:50 pm



You asked:

Simplify the expression: \(16 - 6 \cdot x \cdot 4 \cdot x \cdot \left(\frac{5}{3} - \frac{3}{2 x}\right) - 3 \cdot \left(\frac{4 x}{3} - \frac{5}{6 x}\right) - 36 x\)

MathBot Answer:

Simplified:

\[ 16 - 6 \cdot x\left( 4 \cdot x\left( \frac{5}{3} - \frac{3}{2 x} \right) \right) - 3 \cdot \left(\frac{4 x}{3} - \frac{5}{6 x}\right) - 36 x = - 40 x^{2} - 4 x + 16 + \frac{5}{2 x} \]

Expanded:

\[ 16 - 6 \cdot x\left( 4 \cdot x\left( \frac{5}{3} - \frac{3}{2 x} \right) \right) - 3 \cdot \left(\frac{4 x}{3} - \frac{5}{6 x}\right) - 36 x = - 40 x^{2} - 4 x + 16 + \frac{5}{2 x} \]

Factored:

\[ 16 - 6 \cdot x\left( 4 \cdot x\left( \frac{5}{3} - \frac{3}{2 x} \right) \right) - 3 \cdot \left(\frac{4 x}{3} - \frac{5}{6 x}\right) - 36 x = - \frac{80 x^{3} + 8 x^{2} - 32 x - 5}{2 x} \]


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