Question

@jonask

Answer 1

Find the lowest common denominator for the set of fractions. 7/x^2+4x+4 5/4-x^2

Answer 2

The denominator for the first one factors out to (x+2)(x+2). You get this by taking the coefficient of "4" and finding mult's that if adding together would give you the middle x term which is +4, then you would have x^2+2x+2x+4, you would use factor by grouping,(x^2+2x)(2x+4). Pull out the x from the first group, than a 2 from the second group. This will leave you with (x+2)(x+2). Now, the second part is "perfect squares," it is simply (2-x)(2+x). Now, i with both of those done you come up with the final answer: (x+2)(2-x)is you LCD. If you are asking why not the (2+x), it is because that one is exact same as the (x+2), just written different but still the same value

Answer 3

is it the same fraction \[\frac{ 7 }{ (x+2)(x+2) }\]
\[\frac{ 4 }{ (2-x)(x+2) }\]

Answer 4

i think but is correct

Answer 5

so common denominator x+2

Answer 6

thanks