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topjm [15]
3 years ago
10

Simplify each expression. State any excluded values, Show your work.

Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Answer:

\frac{3x^{4}+10x^{2} }{5}

Step-by-step explanation:

2x^{2}  + x^{3}(\frac{6x}{10} )

2x^{2}  + x^{3}(\frac{3x}{5} )

2x^{2}  + \frac{3xx^{3}}{5}

\\ 2x^{2}  + \frac{3x^{4}}{5}

\frac{5(2x^{2} )}{5}   + \frac{3x^{4}}{5}

\frac{5(2x^{2} )+3x^{4}}{5}

\frac{10x^{2} +3x^{4}}{5}

\frac{3x^{4}+10x^{2} }{5}

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Answer:

\boxed{ \bold{ \sf{ \: 1. \:  \:  \:  \:  \: 198}}}

\boxed{ \bold{ \sf{2. \:  \:  \:  \:  \:  - 8}}}

\boxed{ \bold{ \sf{ 3. \:  \:  \:  \:  \: \frac{64}{343} }}}

Step-by-step explanation:

1. Given, u = 20 , x = 4 , y = 7 , z = 10

\sf{ \frac{u}{z}  + x {y}^{2} }

⇒\sf{ \frac{20}{10}  + 4 \times  {7}^{2} }

⇒\sf{ \frac{20}{10}  + 4 \times 49}

⇒\sf{ \frac{20}{10}  + 196}

⇒\sf{ \frac{20 + 196 \times 10}{10} }

⇒\sf{ \frac{20 + 1960}{10} }

⇒\sf{ \frac{1980}{10} }

⇒\sf{198}

2. \sf{4( - 2)}

Multiplying or dividing a positive integer by any negative integer gives a negative integer

= - 8

3. \sf{( \frac{4}{7} ) ^{3} }

⇒\sf{( \frac{ {4}^{3} }{ {7}^{3} } })

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⇒\sf{ \frac{64}{343} }

Hope I helped!

Best regards! :D

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