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Maslowich
3 years ago
15

Simplify the rational expression. State any restrictions on the variable.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

we are given

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}

Firstly, we will factor numerators and denominators

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-6)(n^2-4)}{(n^2-3)(n^2-6)}

we can see that

n^2 -6 is factor on both numerator and denominator

so, it will get cancelled

and n^2 -6 can not be equal to 0

so, one of restriction is

n^2-6\neq 0

n\neq -+ \sqrt{6}

we can simplify it

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-4)}{(n^2-3)}

we know that denominator can not be zero

n^2-3\neq 0

n\neq -+ \sqrt{3}

so, option-B.......Answer

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PLEASE ANSWER FAST THIS IS DUE IN 10 MINUTES
Elena-2011 [213]

The expressions that are equal to 61 are

  • |−61|
  • The distance from zero to −61
  • −(−61)
  • The opposite of −61

<h3>How to determine the expressions?</h3>

The value of the expression is given as:

Value = 61

Next, we evaluate the options:

<u>Option 1: |−61| </u>

The expression is given as:

Expression = |-61|

Remove the absolute sign

Expression = 61

Hence, |-61| equals 61

<u>Option 2: The distance from zero to −61 </u>

This is represented as:

Distance = |-61 - 0|

Evaluate the difference

Distance = |-61|

Remove the absolute sign

Distance = 61

Hence, the distance from zero to −61 is 61

<u>Option 3: The opposite of 61 </u>

The opposite of 61 is represented as:

Opposite = -(61)

Evaluate

Opposite = -61

Hence, the opposite of 61 is -61

<u>Option 4:−(−61) </u>

The expression is given as:

Expression = -(-61)

Remove the bracket

Expression = 61

Hence, -(-61) equals 61

<u>Option 5: the opposite of −61</u>

The opposite of -61 is represented as:

Opposite = -(-61)

Evaluate

Opposite = 61

Hence, the opposite of -61 is 61

<u>Option 6: −|−61| </u>

The expression is given as:

Expression = -|-61|

Remove the absolute sign

Expression = -61

Hence, -|-61| equals -61

<u>Option 6: −|61| </u>

The expression is given as:

Expression = -|61|

Remove the absolute sign

Expression = -61

Hence, -|61| equals -61

Read more about expressions at:

brainly.com/question/723406

#SPJ1

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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