Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$(198 { X }^{ 7 } - { X }^{ { 5 }^{ } } + \frac{ 297 }{ 129 } { x }^{ } + \frac{ 17 }{ 199 } { x }^{ 4 } - \frac{ 18 }{ 17 } )( \frac{ -195 }{ 371 } { x }^{ 6) }$$

Answer

$$-(195*x^6*(198*X^7-X^5^+(99*x^)/43+(17*x^4)/199-18/17))/371$$

Solution


Simplify  \(\frac{297}{129}\)  to  \(\frac{99}{43}\).
\[(198{X}^{7}-{X}^{{5}^{}}+\frac{99}{43}{x}^{}+\frac{17}{199}{x}^{4}-\frac{18}{17})\times \frac{-195}{371}{x}^{6}\]
Simplify  \(\frac{99}{43}{x}^{}\)  to  \(\frac{99{x}^{}}{43}\).
\[(198{X}^{7}-{X}^{{5}^{}}+\frac{99{x}^{}}{43}+\frac{17}{199}{x}^{4}-\frac{18}{17})\times \frac{-195}{371}{x}^{6}\]
Simplify  \(\frac{17}{199}{x}^{4}\)  to  \(\frac{17{x}^{4}}{199}\).
\[(198{X}^{7}-{X}^{{5}^{}}+\frac{99{x}^{}}{43}+\frac{17{x}^{4}}{199}-\frac{18}{17})\times \frac{-195}{371}{x}^{6}\]
Regroup terms.
\[\frac{-195}{371}{x}^{6}(198{X}^{7}-{X}^{{5}^{}}+\frac{99{x}^{}}{43}+\frac{17{x}^{4}}{199}-\frac{18}{17})\]
Move the negative sign to the left.
\[-\frac{195}{371}{x}^{6}(198{X}^{7}-{X}^{{5}^{}}+\frac{99{x}^{}}{43}+\frac{17{x}^{4}}{199}-\frac{18}{17})\]
Move the negative sign to the left.
\[-\frac{195{x}^{6}(198{X}^{7}-{X}^{{5}^{}}+\frac{99{x}^{}}{43}+\frac{17{x}^{4}}{199}-\frac{18}{17})}{371}\]
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