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4 years ago

Simplify rational expression

Mathematics

1 answer:

zubka84 [21]4 years ago

7 0

Answer:

The final answer is 35n/17r

Step-by-step explanation:

Let's simplify the expression, this way:

1. Start with the coefficients:

(10 * 42)/(6 * 34)

We cancel 6 in the denominator and change 42 by 7. Now we have:

(10 * 7)/34

We now divide by 2 both in the numerator and the denominator. Now we have:

(5 * 7)/17.

The remaining numbers are prime numbers and it's not possible to continue simplifying, so we got:

35/17

2. Variable r:

We have r⁴/r⁵ = r ⁴⁻⁵ = r⁻¹ = 1/r¹ = 1/r

3. Variable n:

We have n⁴/n³ = n ⁴⁻³ = n¹/1 = n

4. Adding the pieces:

We put coefficients and variables together: 35/17 * 1/r * n

The final answer is 35n/17r

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-1   |   1   -4   15    k + 8
.     |        -1     5       -20
- - - - - - - - - - - - - - - - - -
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