Multiplicación de expresiones algebraicas

1. (27s⁵ / 49s) * (21s⁴ / 243s)

A) s¹⁰/14
B) s¹¹/42
C) s⁷/21
D) s⁹/7
E) s⁸/3

2. [5/(3+10x)]*(21+70x)

A) 21
B) 50
C) 35
D) 15
E) 30

3. [(10u³v)/(7u+v)]*[(u+v)/15u²]

A) (u+v)/7
B) (5uv)/7
C) 5/(7u+v)
D) [2uv*(u+v)]/[3*(7u+v)]
E) [2*(u+v)]/[3*(7u+v)]

4. [(5-r)/7]*[7/(r-5)]

A) 7/5
B) 1
C) -5/7
D) -1
E) 1/7

5. {[(7x-10)*(x+2)]/x⁶}*[x/(10-7x)]

A) -(x+2)/x⁷
B) -[(x+2)/x⁵]
C) -140/(10-7x)
D) (x+2)/x⁶
E) -[(7x-10)*(x+2)]/3x⁶

6. [(2t²-5t-25)/(t+9)]*[(t²+4t-45)/(t²-10t+25)]

A) 2t+5
B) (2t+5)/(t+9)
C) t+9
D) (2t+5)/(t-5)
E) t-5

7. [(x-10y)²/(x+10y)]*[(x²+16xy+60y²)/(x²-100)]

A) [(x-10y)²*(x+6y)]/(x+10)
B) x+6y
C) [(x-6y)*(x+6y)]/(x+10y)
D) [(x+10y)*(x-6y)]/(x-10y)
E) x-10y

8. [(x+2)/(x-2)]*[(2x²-3x-2)/(3x²+7x-6)]*[(x²-9)/(x²+11x+18)]

A) [(2x+1)*(x+9)]/[(3x-2)*(x+2)]
B) [(2x+1)*(x+3)]/[(3x+2)*(x+2)]
C) [(2x-1)*(x-2)]/[(3x+2)*(x+3)]
D) [(2x-1)*(x-2)]/[(3x-2)*(x+9)]
E) [(2x+1)*(x-3)]/[(3x-2)*(x+9)]

9. [(x³+3x²-81x-243)/(x³-3x²-81x+243)]*[(x²-9)/x]

A) (x+3)²/x
B) [(x-3)²]/[x(x+9)]
C) (x+3)/[x(x+9)]
D) [(x+3)*(x+9)]/x
E) [(x-3)*(x-9)]/x

10. [(16x²-1)/(4x²+25x+25)]*[(5x²-29x-42)/(x²-18x+81)]*[(18+7x-x²)/(4x²-29x+7)]

A) [(4x+1)(5x+6)(x+7)]/[(4x+5)(x+9)(5-x)]
B) [(4x-1)(5x+6)(x+9)]/[(4x+5)(x+7)(2-x)]
C) [(4x+1)(5x+6)(x+2)]/[(4x+5)(x+5)(9-x)]
D) [(4x+1)(5x-6)(x+5)]/[(4x-5)(x-7)(9-x)]
E) -[(4x-1)(5x-6)(x+2)]/[(4x+5)(x+5)(x-9)]

11. [(x³+3x²-49x-147)/(x³-3x²-49x+147)]*[(x²-9)/x]

A) (x+3)²/x
B) (x-3)²/[x(x-7)]
C) [(x-3)(x-7)]/x
D) [(x+3)(x+7)]/x
E) (x+3)/[x(x-7)]

Otros exámenes de interés :

Àlgebra
Productos notables

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