It should have a least common denominator Find the least com

It should have a least common denominator

Find the least common denominator of the rational expressions: 6/3x^2 + 8x - 3 and x/x^2 - 9 and 9x/3x^2 + 14x - 5

Solution

Now,

3x^2+8x-3 = (x+3)(3x-1)

x^2-9 = (x+3)(x-3)

3x^2+14x-5 = (x+5)(3x-1)

So,

LCD = (3x-1)(x+3)(x-3)(x+5)

= 3x^4+16x^3-22x^2-144x-45

It should have a least common denominator Find the least common denominator of the rational expressions: 6/3x^2 + 8x - 3 and x/x^2 - 9 and 9x/3x^2 + 14x - 5 Sol

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