Prod Notables1
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Guía 1º Medio: PRODUCTOS NOTABLES
Resuelve los siguientes productos notables: 1) (x + 2)2 = 2) (x + 2)(x + 3) = 3) (x + 1)(x – 1) =
4) (x – 1)2 = 5) (n + 3)(n + 5) = 6) (m – 3)(m + 3) = 7) (a + b – 1)(a + b + 1) =
8) (1 + b)3 = 9) (a2 + 4)(a2 – 4) = 10) (3ab – 5x2)2 = 11) (ab + 3)(3 – ab) =
12) (1 – 4ax)2 = 13) (a2 + 8)(a2 – 7) = 14) (x + y + 1)(x – y – 1) = 15) (1 – a)(a + 1) = 16) (m – 8)(m + 12) =
17) (x2 – 1)(x2 + 3) = 18) (x3 + 6)(x3 – 8) = 19) (5x3 + 6m4)2 =
20) (x4 – 2)(x4 + 5) =
Respuestas: 1) x2 + 4x + 4 6) m2 – 9
2) x2 + 5x + 6
7) a2 + 2ab + b2 – 1
10) 9a2b2 – 30abx + 25x4 14) x2 – y2 – 2y – 1 18) x6 – 2x3 – 48
3) x2 – 1
8) 1 + 3b + 3b2 + b3
11) 9 – a2b2
15) 1 – a2
4) x2 – 2x + 1
5) n2 + 8n + 15
9) a4 – 16
12) 1 – 8ax + 16a2x2
16) m2 + 4m – 96
19) 25x6 + 60x3m4 + 36m8
13) a4 + a2 – 56
17) x4 + 2x2 – 3
20) x8 + 3x4 – 10
Resuelve los siguientes productos notables: 1) (x + 2)2 = 2) (x + 2)(x + 3) = 3) (x + 1)(x – 1) =
4) (x – 1)2 = 5) (n + 3)(n + 5) = 6) (m – 3)(m + 3) = 7) (a + b – 1)(a + b + 1) =
8) (1 + b)3 = 9) (a2 + 4)(a2 – 4) = 10) (3ab – 5x2)2 = 11) (ab + 3)(3 – ab) =
12) (1 – 4ax)2 = 13) (a2 + 8)(a2 – 7) = 14) (x + y + 1)(x – y – 1) = 15) (1 – a)(a + 1) = 16) (m – 8)(m + 12) =
17) (x2 – 1)(x2 + 3) = 18) (x3 + 6)(x3 – 8) = 19) (5x3 + 6m4)2 =
20) (x4 – 2)(x4 + 5) =
Respuestas: 1) x2 + 4x + 4 6) m2 – 9
2) x2 + 5x + 6
7) a2 + 2ab + b2 – 1
10) 9a2b2 – 30abx + 25x4 14) x2 – y2 – 2y – 1 18) x6 – 2x3 – 48
3) x2 – 1
8) 1 + 3b + 3b2 + b3
11) 9 – a2b2
15) 1 – a2
4) x2 – 2x + 1
5) n2 + 8n + 15
9) a4 – 16
12) 1 – 8ax + 16a2x2
16) m2 + 4m – 96
19) 25x6 + 60x3m4 + 36m8
13) a4 + a2 – 56
17) x4 + 2x2 – 3
20) x8 + 3x4 – 10
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