Question

PLEASE help me solve these rational expressions!

Answer 1

5. (2x-5)/(3x^2-10x+3)

6. 3/(4x+4)

Explanation:

There is nothing to "solve." The expressions can be simplified.

5.

`\displaystyle(\left((2x-5)/(x^2-9)\right))/(\left((3x-1)/(x+3)\right))=(2x-5)/(x^2-9)\cdot(x+3)/(3x-1)=((2x-5)(x+3))/((x+3)(x-3)(3x-1))\\\\=(2x-5)/((x-3)(3x-1))=(2x-5)/(3x^2-10x+3)`

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6.

`\displaystyle((x)/(x+1))/(x+(x)/(3))=(x)/(x+1)\cdot(3)/(3x+x)=(3x)/(4x(x+1))\\\\=(3)/(4x+4)`