FACTORIZACIÓN

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I.E RAMÓN CASTILLA MARQUESADO 3ro de Secundaria Prof. Miguel Vásquez
EJERCICIOS DE APLICACIÓN 1
Ψ Factorizar: 8.
4 4 8 3
5a b + 25a b – 30a b
9 4
1. ax + bx 9.
2
(m + n - 1)x + (m + n - 1)x – (m + n - 1)
2. x2a + x2b 10.
2 2 3 2
(a + b ) a + (a + b ) c + (a + b )
2 5 2 2 2
a2x + ay
2 2
3. 11. (m + n)(x - y) – (m + n)(2x + 5y)
3 4
4. a2 + a 12. (x + y) – (x + y) z
13. (x + y)(a + b) + (x + y)(m + n)
5. x2y – y – zy
5
14. (x + y + z + w)a – (x + y + z + w)(b + c)
6. 7abc – 35abc 2
2
15. (a + b + 1) – (a + b + 1)(x - 2) + (a + b + 1)
7. 2a b – 4ab – 6a b
4 4 4 4
TAREA DOMICILIARIA Nº 1
Ψ Factorizar: 8. 6a8 + 12a6 – 18a4 + 24a2
1. m3y + m3t
9. (a + b)m2 + (a + b)n
2. a3x – a2y
10. (x + y)a3 + (x + y)b2
3. a3 + a2 + a
11. (a + 2b)x4 + (2b + a)y3
4. a2b + b
12. (m2 + n2)x2 + (m2 + n2)y2
5. x2 + 2x 13.
2
(a + b + 1) – (a + b + 1)(x - 2) + (a + b + 1)
6. 6m2n – mn2 14.
4 3 2 4
(x - t) y – (x – t)(y - 1) + (x - t)(y - 2)
4
7. 5xyz3 – 3xy3z + 2x3yz 15.
2 2 2 2
(y + y + 7) c – (y + y + 7)(c - 3) + y + y + 7
2
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