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2 y 3 - Amolasmates

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k) A<br />

( 1−<br />

B)<br />

+ A =<br />

B<br />

l)<br />

x<br />

2x<br />

5 x<br />

3<br />

2<br />

2<br />

2x<br />

−<br />

+<br />

−<br />

+<br />

x<br />

6x<br />

5 x<br />

6<br />

=<br />

m)<br />

2<br />

− 1<br />

a<br />

2<br />

a<br />

=<br />

1<br />

−<br />

2<br />

9. Efectuar las siguientes operaciones combinadas con F.A. y simplificar:<br />

a)<br />

b)<br />

c)<br />

d)<br />

⎛ 1⎞ ⎛ 2x 1 ⎞<br />

⎜1− ⎟ ⋅ ⎜ − 2 ⎟=<br />

⎝ x⎠ ⎝x −1<br />

x+ 1⎠<br />

+ + −<br />

+ =<br />

2<br />

x 1 x 2 x 1<br />

2<br />

x −1<br />

x − 2 x + 1<br />

2 2 ⎛a + b a+ b ⎞ a+ b<br />

⎜ − 2 2 ⎟ =<br />

⎝a −b<br />

a− b ⎠ ab<br />

xy x − y y<br />

: + =<br />

2 2<br />

x − y y x − y<br />

10. Demostrar que: a)<br />

a c a − c a<br />

= ⇒ = b)<br />

b d b − d b<br />

2<br />

( a + b)<br />

( a − b)<br />

4<br />

−<br />

4<br />

2<br />

=<br />

a·<br />

b<br />

82

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