Choose the appropriate simplified expression.

1. 8x^2-10x+3/6x^2+3x-3

2. (x^2-4/x^2-1)*(x+1/x^2+2x)

3. (7/5y+25)-(4/3y+15)

4. (x^2/x^2+2x+1)/(3x/x^2-1)

5. (2x+4/3x-3)*(12x-12/x+5)

6. (7/2xy^2)+(3/8x^2y)

7. (x^2-16/2x+8)/((x-4)^2/8x-32)

8. 5-(4x^2-5x+1/x^2-x)

9. 1/3x/5/6y

1 answer

Use Quadratic Formula.

1. (x-3/4)(x-1/2) / (x-1/2)(x+1) =
(x-3/4) / (x+1).

2. (x+2)(x-2)/(x+1)(x-1) * (x+1)/x(x+2)= (x-2)/x(x+1).

3. (7y/5+25) - (4y/3+15) =
7y/5 + 25 - 4y/3 - 15 =
Common denominator = 15.
21y/15 + 25 - 20y/15 - 15 =
y/15 + 10.
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