Mathematics: What is the sum? ܘܝܐ ܘ 5x-12 0 3-x܂ -5x o x+sz-3 (x+30(x-3) 5x- 12 (x+xhx-3)

What is the sum? ܘܝܐ ܘ 5x-12 0 3-x܂ -5x o x+sz-3

jesusmejia383

10.01.2022

$\frac{5x-12}{(x+3)(x-3)}$

Step-by-step explanation:

We can simplify the left fraction by simplifying the denominator.

First note the formula a^2-b^2=(a+b)(a-b)

So, we can write:

$\frac{3}{x^2-9}+\frac{5}{x+3}\\=\frac{3}{(x)^2-(3)^2}+\frac{5}{x+3}\\=\frac{3}{(x-3)(x+3)}+\frac{5}{x+3}$

Now, we can do LCM and write:

$\frac{3}{(x-3)(x+3)}+\frac{5}{x+3}\\=\frac{3+5(x-3)}{(x+3)(x-3)}\\=\frac{3+5x-15}{(x+3)(x-3)}\\=\frac{5x-12}{(x+3)(x-3)}$

The last answer choice is right.

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TH3L0N3W0LF

22.10.2021

72km/hr

Step-by-step explanation:

$\frac{20m}{1sec} * \frac{60sec}{1min} * \frac{60min}{1hr} * \frac{1km}{1000m} = \frac{72km}{1hr} = 72km/hr$

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