Natasha honors

1. 1. 1/R + 1/T<br /> 1*R /RT + 1* T /RT<br /> R + T/RT<br /> <br />2. x – 2 / 3x + 4 – 6x / x + 1<br />x - 2 (x + 1) / (x + 1) (3x + 4) – 6x / (x + 1) (3x + 4)<br />x - 2 (x + 1) – 6x (3x + 4) / (x + 1) (3x + 4)<br />x^2 + x - 2x - 2 – 18x^2 - 24x / (x + 1) ( 3x + 4)<br />-17x^2 – 25x – 2 / (x + 1) (3x + 4)<br />3. 4x / x + 2 – 8 / x – 1<br />4x(x + 2) – 8 (x - 1) / (x + 2) (x + 1)<br />4x^2 + 8x – 8x + 8 / (x + 2) (x + 1)<br /> 4x^2 + 8 / (x + 2) (x – 1)<br /> 4 (x^2 + 2) / (x + 2) (x – 1)<br />4. x + 2 / 2x^2 + 5x + 2 + x – 3 / 2x^2 - 5x - 3<br />x + 2 / (x+2 ) (2x+1) + x – 3 / (x - 3) (2x + 1)<br /> 1 / 2x + 1 + 1 / 2x + 1<br /> 2 / 2x + 1<br />5. 2x + 1 / x^2 – 16 + x^2 – 6x – 7 / x^2 – 11x + 28<br /> 2x + 1 / (x + 4) (x – 4) + (x – 7) (x + 1) / (x - 7) (x - 4)<br /> 2x + 1 / (x + 4) (x – 4) + (x + 1) / (x - 4)<br /> 2x + 1 / (x + 4)(x – 4) + (x + 1)(x + 4) / (x + 4)(x - 4)<br /> 2x + 1 /(x + 4)(x – 4) + x^2 + 5x + 4 / (x + 4)(x – 4)<br /> 2x + 1 + x^2 + 5x + 4 / (x + 4) (x – 4)<br /> x^2 + 7x + 5 / (x + 4 )(x - 4) <br />