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# Adding And Subtracting Rational Expressions

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1. Simplify the expression.
2. Simplify the expression.
3. Simplify the expression.
5x2x-1-2xx+2
x+3x+4-xx+5
3xx+3-2xx-1
a.
a.
a.
x + 12(2x - 1)(x + 2)
15(x + 4)(x + 5)
x(x - 9)(x + 3)(x - 1)
b.
b.
b.
x(x + 12)(2x - 1)(x + 2)
4x + 15(x + 4)(x + 5)
x(x + 3)x - 1
c.
c.
c.
x(3x + 12)(2x - 1)(x + 2)
2(x + 2)(x + 4)(x + 5)
x(x + 9)(x + 3)(x - 1)
d.
d.
d.
x(x - 12)(2x - 2)(x + 1)
8x + 15(x + 4)(x + 5)
xx - 1
4. Simplify the expression.
5. Simplify:
3xx - 5+x - 4x + 3
10x2x2 - 8100 + - 9x(x - 10)x2 - 8100
a.
a.
a.
4(x2 + 5x)(x + 3)(x - 5)
1x + 90
sum of the numerators
b.
b.
b.
2(x2 + 5)(x + 3)(x - 5)
xx - 90
sum of the denominators
c.
c.
c.
4(x2 + 5)(x + 3)(x - 5)
1x - 90
common denominator
d.
d.

d.
2(x + 1)(x - 5)(x + 3)
xx + 90
common numerator

7. Simplify:
8. Simplify:
9. Add 4x and 1 - xx.
1(x + 1) + (x - 2)(x + 1)
x2 + 3(3 -x4) - x2 - 4(3 -x4)
a.
a.
a.
4 - xx
(x - 1)(x + 1)
- 73-x4
b.
b.
b.
5 - xx
1x + 1
83-x4
c.
c.
c.
5- x3x
(x - 2)(x + 1)
73+x4
d.
d.
d.
5 - x2x
x(x + 1)
73-x4
10. Simplify:
10 - xx + 5 + 5x + 5
a.
15 - xx + 5
b.
xx + 5c.
15 + xx + 5
d.
15x + 5

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