SOLUTION: can some one explain to me in the simplest form what it means to simplify and how to simplify with an add of the following question. l am seriously looking for a tutor for l dont w

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Question 1108540: can some one explain to me in the simplest form what it means to simplify and how to simplify with an add of the following question. l am seriously looking for a tutor for l dont want given answers but a teacher/ tutor to guide me.
question 1
Simplify the following expression as far as possible:
2y
2
(x − 1) − 8x
y
2 + 1

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
2y is already in simplest form
2 is already in simplest form
(x-1)-8x can be simplified by combining the "x" with the "-8x" to get -7x. The result is -7x-1. This is called "combining like-terms."
y is already in simplest form
2+1 can be simplified to 3 by adding the two numbers
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Simplification just means manipulating the expression to get it to its simplest form.
Do note that any higher-power terms in x +x%5E2+, +x%5E3+, etc. are simplified separately from the x=x%5E1 and constant +x%5E0+ terms.
For example +%283x%5E3+%2B+2x%5E2+%2B+x+%2B+7%29+-+%28x%5E3+%2B+x%5E2+%2B+x+%2B+5%29+ simplifies (step by step) as follows:
= +%283x%5E3+%2B2x%5E2++%2B+x+%2B+7%29+-+x%5E3+-+x%5E2+-+x+-+5+ <<< changed sign of 2nd paren's contents (multiplied the contents of the 2nd paren's by -1 and removed the parens. )
= +%283-1%29x%5E3+%2B+%282-1%29x%5E2+%2B+%281-1%29x+%2B+%287-5%29+ <<< just to show you how the coefficients add together. Normally you will do this math in your head, usually starting with the highest power of x and working your way down.
= ++2x%5E3+%2B+x%5E2+%2B+2+ <<< notice there is no +x%5E1+ because we ended up with 0*x