Tare A 3

  • May 2020
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ITD – CURSO PROPEDÉUTICO 2008 ÁLGEBRA (Operaciones Elementales) 1. 2(2 x + 3) − 7(4 x − 7 )

(

) (

2. x 3 x 2 + x + 1 − x 3 − 6 x 2 − 5 x

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3. 3(4t − 2) − t 2 + 5 − 3t (t − 2)

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x x− x

4. 5. 6.

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⎛ 1⎞ y ⎜⎜ y 2 − ⎟⎟ y⎠ ⎝

(2 x + 3 y )(− 3x − y )

7. y 2 (3 − y )( y´+1) 8.

(x

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3 5 3 ⎞ ⎛2 ⎞ ⎛ 3 − x 2 + 5 + ⎜ x3 − x − 3⎟ + ⎜ − x 4 + x3 − x ⎟ 8 6 4 ⎠ ⎝3 ⎠ ⎝ 5

2 ⎞ ⎛1 3 ⎞ ⎛2 1 ⎞ ⎛ 1 5 ⎞ ⎛1 9. ⎜ a − b ⎟ + ⎜ b − c ⎟ − ⎜ b + c ⎟ − ⎜ − c − b ⎟ 9 ⎠ ⎝3 5 ⎠ ⎝3 5 ⎠ ⎝ 10 9 ⎠ ⎝2 ⎛ 1 ⎞⎛ 3 ⎞⎛ 10 ⎞⎛ 3 ⎞ 10. ⎜ − x 2 y ⎟⎜ − xy 2 ⎟⎜ − x 3 ⎟⎜ − x 2 y ⎟ ⎝ 2 ⎠⎝ 5 ⎠⎝ 3 ⎠⎝ 4 ⎠

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)(

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11. m 4 − 3m 2 + 4 3m 3 − 2m + 1 1 ⎞⎛ 1 1 ⎞ ⎛1 12. ⎜ a − b ⎟⎜ a + b ⎟ 3 ⎠⎝ 3 2 ⎠ ⎝2 13. 5( x + 2 ) − ( x + 1)(x + 4) − 6 x

( ) 15. (6 + a + 5a ) ÷ (a + 2) 16. (2 x − x − 3 + 7 x ) ÷ (2 x + 3) 17. (x + 6 x − 2 x − 7 x − 4 x + 6) ÷ (x − 3x + 2) 18. (a − 5a + 31a − 8a + 21) ÷ (a − 2a − 7 ) 19. (x − x − 2 x − 1) ÷ (x − x − 1) + 2(x − 1) − 3(− x )(1 − x ) 20. (x − x )(2 x + 2 x ) 14. x 4 − 5 x 3 − 10 x 2 + 15 x ÷ (− 5 x ) 2

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