I believe you MEANT 8/(x^2-25)+9/(x-5) Parentheses in this format are important...the way you typed it means (8/x^2)-25+(9/x)-5 which I doubt you mean. Anyway.

If you factor the first denominator you will see that it is equal to (x+5)(x-5). Division by zero has no meaning so x cannot equal -5 or 5.

If we multiply the second fraction by (x+5) we will have a common denominator of (x^2-25) for the entire equation leaving us with:

(8+9x+45)/(x^2-25)

(9x+53)/(x^2-25)

The second problem is worked in exactly the same way, notice that there is no "solution" as there is no equal sign. This is an "expression" not an "equation".

4 0

3 years ago

Explain why 2/3 x 12 can be written as 2 x 12 divided by 3.

Inga [223]

Answer and Step-by-step explanation:

$\frac{2}{3}$ × 12 can also be written as $\frac{2 * 12 }{3}$ because the 12 is multiplying the numerator of the fraction.

12 can also be written as $\frac{12}{1}$ .

When we solve, this is what is happening:

$\frac{2}{3}$ × $\frac{12}{1}$

The 12 will be multiplying the 2, while the 1 will be multiplying the 3. Because 3 times 1 is 3, we don't show the 1. So, that can leave us with 2 being multiplied by 12 in the numerator.

#teamtrees #PAW (Plant And Water)

3 0

3 years ago

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