Question

1)2a-1/2+a+4/2 2) 5/3m-7/3m-1/3m 3)2a/12+6a/12 4)c/c^2-9+3/c^2-9 5)a/a-1-1/a-1 6)x/y-x/x+9 7)c/c+3-c/c-2 8)5/6m+6-3/2m+2 9)a/a-b-a^2/a^2-b^2 10)2+x/y+y/x 11)3x+1/3x-2y+1/2y+3x-y/6xy 12)y^2/y^2-2y+1-y/y-1 13)3/x+2y+3x/x^2+4x+4y^2 14) m/4m-n-m/12m-12

Answer 1

1)2a-1/2+a+4/2

3a-1/2+4/2

3a-5/2

3a-2,5

Answer 2

I'll help you simplify each of these expressions. Here are the simplified forms for each expression:

1. 2a - 1/2 + a + 4/2 Simplified: 3a + 1.5

2. 5/3m - 7/3m - 1/3m Simplified: -3/3m (which is -1/m)

3. 2a/12 + 6a/12 Simplified: (2a + 6a)/12 = 8a/12 = 2a/3

4. c/c^2 - 9 + 3/c^2 - 9 Simplified: (c/c^2 + 3/c^2) - 9 = (1/c + 3/c^2) - 9

5. a/(a - 1) - 1/(a - 1) Simplified: (a - 1)/(a - 1) = 1

6. x/y - x/x + 9 Simplified: x/y - 1 + 9 = x/y + 8

7. c/(c + 3) - c/(c - 2) Simplified: [c(c - 2) - c(c + 3)] / [(c + 3)(c - 2)]

8. 5/6m + 6 - 3/2m + 2 Simplified: (5/6m - 3/2m) + (6 + 2) = (5/6m - 9/6m) + 8 = (-4/6m) + 8

9. a/(a - b) - a^2/(a^2 - b^2) Simplified: [a(a + b) - a^2] / [(a - b)(a + b)]

10. 2 + x/y + y/x This expression cannot be simplified further.

11. (3x + 1)/(3x - 2) - (y + 1)/(2y + 3) This expression cannot be simplified further.

12. y^2/(y^2 - 2y + 1) - y/(y - 1) Simplified: [y^2/y(y - 1)] - [y(y - 1)/y(y - 1)] = [1 - (y^2 - y)]/(y(y - 1))

13. 3/(x + 2y) + 3x/(x^2 + 4x + 4y^2) Simplified: [3(x^2 + 4x + 4y^2) + 3x(x + 2y)] / [(x + 2y)(x^2 + 4x + 4y^2)]

14. m/(4m - n) - m/(12m - 12) Simplified: [m(12m - 12) - m(4m - n)] / [(4m - n)(12m - 12)]