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padilas [110]
3 years ago
8

What is the least common denominator of the rational expressions below? 1/x^2-5x+3/x^2+2x-35

Mathematics
1 answer:
Komok [63]3 years ago
5 0

Here the denominators are quadratics , so we need to factorise them first

1/(x²-5x) +3/(x²+2x-35)

factorising x²-5x ,

here GCF is x, so taking x out we have

x(x-5)

factorising x²+2x-35 using AC method,

we find factors of -35 that add up to give 2

(x-5)(x+7)

Since we have x-5 common in both denominators, so lcd of the rational expression will be product of x(x-5)(x+7)

lcd is x(x-5)(x+7)

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