Answer:
1. 1/2(x - 3)³
2. 3x/y²
Step-by-step explanation:
1. to simplify, we could just FOIL the equations out, but since this is a division, we can cancel out any common factors in the numerator and the denominator to make it easier
2(x - 3)³
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4(x- 3)^6
what do these two have in common? both have a (x - 3)³ to start off, so we can cancel out the (x - 3)³ in the numerator, and take the diference in the denominator which gives us (x - 3)³
2(x - 3)³ / (x - 3)³ = 2
4(x - 3)^6 / (x - 3)³ = 4(x - 3)³
so now we have:
2
-----
4(x - 3)³
we can simplify 2/4 and get 1/2 so now we have the following:
1
--------
2(x - 3)³
there is nothing else to simplify, so this is the final answer
2. to solve 8x/y² - 5x/y², we see they both have <em>like denominators</em>, this means that we can just combine the terms over one denominator and we get the following:
8x - 5x
----------
y²
we can subtract 5x from 8x because both have an x in them and are therefore able to be subtracted
8x - 5x = 3
so the final answer is 3x/y²
