Question

Multiplying and Dividing Rational Expressions:

2) x^2-8x+7/x^2+6x-7 = (x-7)/(x+7)


3) x^2-5x+6/x+4 times 3x+12/x-2 =3(x-3)


4)2x-3/5x+1 divided by 6x^2-13x+6/15x^2-7x-2=1

5) x^3-9x/x^2+11x+24 times x^2+7x-8/x^2-4x+3= x(x-3)(x-1)/(x+3)(x+8)

6) 4x-8/x^2-x-6 divided by x^3 +x^2-6x/x^2-9=(x-3)/x(x-2)

7) x^2-16/x-3 divided x+4/x^2-9=(x-1)/(x+1)

Answer 1

2. (X^2 - 8X + 7) / (X^2 + 6X - 7) =
(X - 1) (X - 7) / (X + 7) (X - 1) =
Cancel the (x - 1) factors:
(X - 7) / (X + 7).

3. ((X^2 - 5X + 6) / (X + 4)) *
(3X + 12) / (X - 2) =
((X - 3) * (X - 2) / (X + 4)) *
3*(X+4) / (X - 2) =
Cancel (x + 4) and (x - 2) factors:
3(X - 3).