Productos Notables
Páginas: 2 (259 palabras)
Publicado: 21 de junio de 2012
Ejercicios de productos notables:
(x + 5)2 =
(7a + b)2 =
(4ab2 + 6xy3)2 =
(xa+1 + yb-2)2 =
(8 - a)2 =
(3x4 -5y2)2 =
(xa+1 - 4xa-2)2=
(5a + 10b)(5a - 10b) =
(7x2 - 12y3)(7x2 + 12y3) =
(x + 4)3 =
(5x + 2y)3 =
(2x2y + 4m)3 =
(1 - 4y)3 =
(3a3 - 7xy4)3 =
(2xa+4 -8ya-1)3 =
(x + 5)(x + 3) =
(a + 9)(a - 6) =
(y - 12)(y - 7) =
(4x3 + 15)(4x3 + 5) =
(5ya+1 + 4)(5ya+1 - 14) =
Solución ejerciciosproductos notables:
01 (x + 5)2
= x2 + 10x + 25
02 (7a + b)2
= 49a2 + 14ab + b2
03 (4ab2 + 6xy3)2
= 16a2b4 + 48ab2xy3 + 36x2y6
04 (xa+1 + yb-2)2
= x2a+2 + 2xa+1yb-2 + y2b-4
05 (8 - a)2
= 64 - 16a + a2
06 (3x4 -5y2)2
= 9x8 - 30x4y2 + 25y4
07(xa+1 - 4xa-2)2
= x2a+2 - 8x2a-1 + 16x2a-4
08 (5a + 10b)(5a - 10b)
= 25a2 - 100b2
09 (7x2 - 12y3)(7x2 + 12y3) = 49x4 - 144y6
10(x + 4)3
= x3 + 12x2 + 48x + 64
11 (5x + 2y)3
= 125x3 + 150x2y + 60xy2 + 8y3
12 (2x2y + 4m)3
= 18x6y3 + 48x4y2m + 96x2ym2 +64m3
13 (1 - 4y)3
= 1 - 12y + 48y2 -64y3
14 (3a3 - 7xy4)3
= 27a9 - 189a6xy4 + 441a3x2y8 - 343x3y12
15 (2xa+4 - 8ya-1)3
=8x3a+12 - 96x2a+8ya-1 + 384xa+4y3a-3 - 512y3a-3
16 (x + 5)(x + 3)
= x2 + 8x + 15
17 (a + 9)(a - 6)
= a2 + 3a - 54
18 (y -12)(y - 7)
= y2 - 19y + 84
19 (4x3 + 15)(4x3 + 5)
= 16x6 + 80x3 + 75
20 (5ya+1 + 4)(5ya+1 - 14)
= 25y2a+2 - 50ya+1 - 56
(x + 5)2 =
(7a + b)2 =
(4ab2 + 6xy3)2 =
(xa+1 + yb-2)2 =
(8 - a)2 =
(3x4 -5y2)2 =
(xa+1 - 4xa-2)2=
(5a + 10b)(5a - 10b) =
(7x2 - 12y3)(7x2 + 12y3) =
(x + 4)3 =
(5x + 2y)3 =
(2x2y + 4m)3 =
(1 - 4y)3 =
(3a3 - 7xy4)3 =
(2xa+4 -8ya-1)3 =
(x + 5)(x + 3) =
(a + 9)(a - 6) =
(y - 12)(y - 7) =
(4x3 + 15)(4x3 + 5) =
(5ya+1 + 4)(5ya+1 - 14) =
Solución ejerciciosproductos notables:
01 (x + 5)2
= x2 + 10x + 25
02 (7a + b)2
= 49a2 + 14ab + b2
03 (4ab2 + 6xy3)2
= 16a2b4 + 48ab2xy3 + 36x2y6
04 (xa+1 + yb-2)2
= x2a+2 + 2xa+1yb-2 + y2b-4
05 (8 - a)2
= 64 - 16a + a2
06 (3x4 -5y2)2
= 9x8 - 30x4y2 + 25y4
07(xa+1 - 4xa-2)2
= x2a+2 - 8x2a-1 + 16x2a-4
08 (5a + 10b)(5a - 10b)
= 25a2 - 100b2
09 (7x2 - 12y3)(7x2 + 12y3) = 49x4 - 144y6
10(x + 4)3
= x3 + 12x2 + 48x + 64
11 (5x + 2y)3
= 125x3 + 150x2y + 60xy2 + 8y3
12 (2x2y + 4m)3
= 18x6y3 + 48x4y2m + 96x2ym2 +64m3
13 (1 - 4y)3
= 1 - 12y + 48y2 -64y3
14 (3a3 - 7xy4)3
= 27a9 - 189a6xy4 + 441a3x2y8 - 343x3y12
15 (2xa+4 - 8ya-1)3
=8x3a+12 - 96x2a+8ya-1 + 384xa+4y3a-3 - 512y3a-3
16 (x + 5)(x + 3)
= x2 + 8x + 15
17 (a + 9)(a - 6)
= a2 + 3a - 54
18 (y -12)(y - 7)
= y2 - 19y + 84
19 (4x3 + 15)(4x3 + 5)
= 16x6 + 80x3 + 75
20 (5ya+1 + 4)(5ya+1 - 14)
= 25y2a+2 - 50ya+1 - 56
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