Productos Notables y Factorizaci´´On

EJERCICIOS FACTPROZACIÓN
PREGUNTAS RESPUESTAS
01 xy2 - y2w = y2( x - w )
02 5xy2 - 15y = 5xy( y - 3 )
03 24a3b2 - 12a3b3 = 12a3b2( 2 - b )
04 4xy - 8xy2 - 12xy3 = 4xy( 1 + 2y -3y2 )
05 16a4b5 - 20a3b2 - 24a2b6 = 4a2b4 ( 4a2b - 5a + 6b2 )
06 xa + 2 - 3xa + 3 - 5xa = xa (x2 + 3x3 + 5)
07 36x2ayb - 24xa + 1yb+1 + 12xay2b = 12xayb ( 3xa - 2xy + yb )
08 x(a + 7) -5(a + 7) = (a + 7)(x - 5)
09 2x(a - 1) - 3y(a - 1) = (a - 1)(2x - 3y)
10 x(a + 9) - a - 9 = (a + 9)(x - 1)
11 - x - y + a(x + y) = (x + y)(a - 1)
12 (a + 5)(a + 1) - 2(a + 1) = (a + 1)(a +3)
13 (a + b - 2)(a2 + 2) - a2 - 2 = (a2 + 2)(a + b - 3)
14 (3x2 + 8)(x + y - z) - (3x2 + 8) - (x + y - 4)(3x2 + 8) = (3x2 + 8)(3 - z)
15 xm - ym + xn - yn = (x - y)(m + n)
16 a2x2 - 8bx2+ a2y2 - 8by2 = (x2 + y2)(a2 - 8b)
17 1 + a + 8ab + 8b = (a + 1)(8b + 1)
18 6ax - 2by - 2bx - 12a + 6ay + 4b = (6a - 2b)(x + y - 2)
19 a2b3 - m5 + a2b3x2 - m5 x2 - 3a2b3x + 3m5x = (a2b3 -m5)(1- 3x + x2)
20 (x + 3)(x + 2)(x + 5) + (x + 2)(x + 5) + (x + 5) = (x + 5)(x + 3)2

PRODUCTOS NOTABLES
PREGUNTAS RESPUESTAS
01 (x + 5)2 = x2 + 10x + 25
02 (7a + b)2 = 49a2 + 14ab + b203 (4ab2 + 6xy3)2 = 16a2b4 + 48ab2xy3 + 36x 2y6
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