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(y-10)*(y+10)

since y2 -100 is a pattern known as the difference of squares. This simply means both terms are perfect squares and you are subtracting them.

In general if you have a2 -b2 this factors as (a+b)(a-b). The reason this works is that the plus and minus signs make the middle terms cancel out. That is to say, when you multiply it out you have a2 + ab-ba-b2 and since -ba+ab=0 we have the desired result.

Although this works for all real numbers, sometimes we multiply "other things" where

AB does not equal BA and then it won't work.

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Q: How do you factor y squared minus 100?
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