Question

found the first answer but need the next one PLEASE HELP ASAP ON PLATO ik i don't have many points but im trying my best​

Answer 1

1/(x^2 +6x)

Explanation:

The denominators used in your difference must have factors of x, (x-6), and (x +6). The only two tiles that have denominator factors on this list are the one you found, (x+2)/(x^2 -36), and the middle remaining one:

`(1)/(x^2 +6x)=(1)/(x(x+6))`

Your difference is ...

`(x+2)/(x^2-36)-(1)/(x^2 +6x)=(x^2+x+6)/(x(x-6)(x+6))`

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You can work out the sum on the left side to verify this.

`(x+2)/(x^2-36)-(1)/(x^2 +6x)=(x(x+2)-1(x-6))/(x(x-6)(x+6))=(x^2+2x-x+6)/(x(x-6)(x+6))`

Combining the two 'x' terms in the numerator of the last expression on the right gives the desired result.