SOLUTION: 1) If a is a rational number, is it always, sometimes, or never true that a^2-3a over a-3 =a? Explain. Please help me! I have no idea what I am doing. lol

Question 199243: 1) If a is a rational number, is it always, sometimes, or never true that a^2-3a over a-3 =a? Explain.
Please help me! I have no idea what I am doing. lol
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Factor the numerator

Highlight the common terms.

Cancel out the common terms.

Simplify

So where . So the statement is always true.

Note: "a" can be any complex number (it doesn't have to be rational)
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