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Question 178950: 3j-{2k-[5h-(3j+k)]}
Grouping symbols removed:
Like terms combined:
Answer by colliefan(242)   (Show Source):
You can put this solution on YOUR website! Simplify any expression that has a minus sign before a grouping symbol. One example is the last part of this expression. Rewrite that so that you make the minus sign a plus and make sure that the negative gets applies to all the terms in the group. For example:
3j-{2k-[5h-(3j+k)]}
3j-{2k-[5h+(-1)(3j+k)]}
3j-{2k-[5h+(-1)3j+(-1)k)]}
3j-{2k-[5h-3j-k]}
Note that without the minus sign in front, there is no need to keep the grouping symbols because the expression means the same without them now that the minus sign has been distributed to each of the terms.
I will do the next simplification of the minus sign in front of the grouping, without each of the steps. What I am doing is the same. The negative of the minus sign is distributed into each of the terms inside the grouping bracket, changing the sign of each term and then you can drop the bracket because the expression means the same without them.
3j-{2k-[5h-3j-k]}
3j-{2k+[-5h+3j+k]}
3j-{2k-5h+3j+k}
3j+{-2k+5h-3j-k}
3j-2k+5h-3j-k
Now, combine like terms:
3j-3j-2k-k+5h
0j-3k+5h
-3k+5h
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