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ra1l [238]
2 years ago
14

Simplify....

Mathematics
1 answer:
evablogger [386]2 years ago
6 0

The simplified expression of \frac{1}{a + 1} + \frac{1}{a - 1} - \frac{2a}{a^2 + 1} - \frac{4a}{a^4 + 1} is \frac{8a}{a^8 - 1}

<h3>How to simplify the expression?</h3>

The expression is given as:

\frac{1}{a + 1} + \frac{1}{a - 1} - \frac{2a}{a^2 + 1} - \frac{4a}{a^4 + 1}

Add the first two terms

\frac{a - 1 + a + 1}{(a + 1)(a - 1)} - \frac{2a}{a^2 + 1} - \frac{4a}{a^4 + 1}

Evaluate

\frac{2a}{a^2 - 1} - \frac{2a}{a^2 + 1} - \frac{4a}{a^4 + 1}

Evaluate the first two terms

\frac{2a^3 + 2a - 2a^3 + 2a}{(a^2 - 1)(a^2 + 1)} - \frac{4a}{a^4 + 1}

Evaluate

\frac{4a }{a^4 - 1} - \frac{4a}{a^4 + 1}

Take the LCM

\frac{4a^5 + 4a - 4a^5 + 4a }{(a^4 - 1)(a^4 + 1)}

Evaluate the like terms

\frac{8a}{a^8 - 1}

Hence, the simplified expression is \frac{8a}{a^8 - 1}

Read more about expressions at:

brainly.com/question/723406

#SPJ1

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3 years ago
Given: -1/2x &gt; 6.
IgorC [24]

Answer:

{x | x R, x<-12}

Step-by-step explanation:

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so you are going to do this

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3 years ago
Mary has taxable income of $40,000, with short-term capital gains of $2,500. What will be her capital gains tax rate and tax owe
hram777 [196]

Answer:

The correct option is B,15% tax rate with $375 in taxes owed

Step-by-step explanation:

Mary has a taxable income of $40,000 which implies that Mary falls into tax bracket of capital gains tax of 15% for taxable income between $38,601 and $425,800.

The amount capital gains tax payable is however the capital gains itself multiplied by the percentage applicable of 15% not the entire taxable income since that consisted of other income from other sources aside from capital gains

capital gains tax=$2500*15%=$375

5 0
3 years ago
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What is another way to group the factors (3x2)x5
tia_tia [17]

<u>Answer</u>

3×(2×5)

<u>Explanation</u>

Multiplication of numbers is associative. For example,

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This is also called grouping. We multiply more than 2 numbers by grouping.

For the equation given above, (3x2)x5, it can also be grouped as 3×(2×5).

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