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Reduce this rational expression: 2x^3+16x^2+30x/4x+20?
Could you explain step by step? For my first step I have 2x(x^2+8x+15)/4(x+5), but I'm not even sure if that is right.
Also:
x^3(5x+5)/10(x^4-x^2)
And:
(2x-6)(2x-2)/x^2-1(5x^2-45)
1 Answer
- hayharbrLv 71 decade agoFavorite Answer
Your first step is perfect. Now factor by reverse FOIL into
2x(x+5)(x+3) over 4(x+5)
then cancel the (x+5)s and the 2 and 4 cancel to be 1 and 2 so the answer is
x(x+3) over 2
On the second, again factor completely then cancel:
5x^3(x+1) over 10x^2(x^2 - 1) which becomes 10x^2(x+1)(x-1)
so cancel the (x+1)s and the 5 and 10 cancel to be 1 and 2, and x^3 and x^2 cancel to be x and 1 so it's
x over 2(x-1)
Sorry I can't figure out what the third one says but it's probably done the same way
