productos notables

Ejercicios productos notables:
*Binomio al cuadrado:
1. (x + 8)2 = (x + 8)(x+8) = x2 + 8x + 8x + 64 = x2 + 16x + 64
2. (y + 2x)2 = (y + 2x)(y + 2x) = y2 + 2xy + 2xy + 4x2 = y2 + 4xy + 4x2
3. (2a/7 + y/4)2 = (2a/7)2 + 2(2a/7)(y/4) + (y/4)2
*Binomio conjugado:
1. (a+2)(a-2) = a2 - 2ª + 2ª – 22 = a2 – 22 = a2 – 4
2. (2a + 3)(2ª – 3) = (2a)2 – 6ª + 6ª – 32 = 4a2 – 9
3. (1/4 b + x) (1/4 b -x) = (1/4 b)2 – ¼ bx + ¼ bx –x2 = (1/4 b) – x2
*Binomio con termino comun:
1. (n – 19)(n+10) = n2 + 10n – 19n – 190 = n2 – 9n – 190
2. (a+4)(a+5) = a2 + 5a + 4a + 20 = a2 + 9a + 20
3. (3x -1)(3x+1) = (3x)2 + 3x – 3x – 1 = (3x2) – 1 = 9x2 – 1
*Binomio cubico:
1. (4n + 3)3 = (4n)3 + 3(4n)2(+3)+3(4n)(3)2+(3)3 = 64n3 + 3(16n2)(3)+(4n)(9)+9 = 64n3 + 144n + 108n + 9 = 64n3 + 252n + 9
2. (2x+1)3 =(2x)3 + 3(2x)3(1)+3(2x)(1)3+(3)3 = 8x3 + 24x3 + 6x + 1 = 32x3 + 6x + 1
3. (a/2-b)3 = (a/2)3-3(a/2)2(b)+3(a/2)(b)2+(b)3 = a/83 – 3a2b/4 + 3ab2/2 – b3Ejercicios productos notables:
*Binomio al cuadrado:
1. (x + 8)2 = (x + 8)(x+8) = x2 + 8x + 8x + 64 = x2 + 16x + 64
2. (y + 2x)2 = (y + 2x)(y + 2x) = y2 + 2xy + 2xy + 4x2 = y2 + 4xy + 4x2
3. (2a/7 + y/4)2 = (2a/7)2 + 2(2a/7)(y/4) + (y/4)2*Binomio conjugado:
1. (a+2)(a-2) = a2 - 2ª + 2ª – 22 = a2 – 22 = a2 – 4
2. (2a + 3)(2ª – 3) = (2a)2 – 6ª + 6ª – 32 = 4a2 – 9
3. (1/4 b + x) (1/4 b - x) = (1/4 b)2 – ¼ bx + ¼ bx –x2 = (1/4 b) – x2
*Binomio con termino comun:
1. (n – 19)(n+10) = n2 + 10n – 19n – 190 = n2 – 9n – 190
2. (a+4)(a+5) = a2 + 5a + 4a + 20 = a2 + 9a + 20
3. (3x -1)(3x+1) = (3x)2 + 3x – 3x – 1 = (3x2) – 1 = 9x2 – 1*Binomio cubico:
1. (4n + 3)3 = (4n)3 + 3(4n)2(+3)+3(4n)(3)2+(3)3 = 64n3 + 3(16n2)(3)+(4n)(9)+9 = 64n3 + 144n + 108n + 9 = 64n3 + 252n + 9
2. (2x+1)3 = (2x)3 + 3(2x)3(1)+3(2x)(1)3+(3)3 = 8x3 + 24x3 + 6x + 1 = 32x3 + 6x + 1
3. (a/2-b)3 = (a/2)3-3(a/2)2(b)+3(a/2)(b)2+(b)3 = a/83 – 3a2b/4 + 3ab2/2 – b3

Ejercicios productos notables:
*Binomio al cuadrado:
1. (x + 8)2 = (x + 8)(x+8) = x2 + 8x + 8x+ 64 = x2 + 16x + 64
2. (y + 2x)2 = (y + 2x)(y + 2x) = y2 + 2xy + 2xy + 4x2 = y2 + 4xy + 4x2
3. (2a/7 + y/4)2 = (2a/7)2 + 2(2a/7)(y/4) + (y/4)2
*Binomio conjugado:
1. (a+2)(a-2) = a2 - 2ª + 2ª – 22 = a2 – 22 = a2 – 4
2. (2a + 3)(2ª – 3) = (2a)2 – 6ª + 6ª – 32 = 4a2 – 9
3. (1/4 b + x) (1/4 b - x) = (1/4 b)2 – ¼ bx + ¼ bx –x2 = (1/4 b) – x2
*Binomio con termino comun:
1. (n – 19)(n+10) =n2 + 10n – 19n – 190 = n2 – 9n – 190
2. (a+4)(a+5) = a2 + 5a + 4a + 20 = a2 + 9a + 20
3. (3x -1)(3x+1) = (3x)2 + 3x – 3x – 1 = (3x2) – 1 = 9x2 – 1
*Binomio cubico:
1. (4n + 3)3 = (4n)3 + 3(4n)2(+3)+3(4n)(3)2+(3)3 = 64n3 + 3(16n2)(3)+(4n)(9)+9 = 64n3 + 144n + 108n + 9 = 64n3 + 252n + 9
2. (2x+1)3 = (2x)3 + 3(2x)3(1)+3(2x)(1)3+(3)3 = 8x3 + 24x3 + 6x + 1 = 32x3 + 6x + 1
3. (a/2-b)3 =(a/2)3-3(a/2)2(b)+3(a/2)(b)2+(b)3 = a/83 – 3a2b/4 + 3ab2/2 – b3


Ejercicios productos notables:
*Binomio al cuadrado:
1. (x + 8)2 = (x + 8)(x+8) = x2 + 8x + 8x + 64 = x2 + 16x + 64
2. (y + 2x)2 = (y + 2x)(y + 2x) = y2 + 2xy + 2xy + 4x2 = y2 + 4xy + 4x2
3. (2a/7 + y/4)2 = (2a/7)2 + 2(2a/7)(y/4) + (y/4)2
*Binomio conjugado:
1. (a+2)(a-2) = a2 - 2ª + 2ª – 22 = a2 – 22 = a2 – 4
2. (2a + 3)(2ª – 3) =(2a)2 – 6ª + 6ª – 32 = 4a2 – 9
3. (1/4 b + x) (1/4 b - x) = (1/4 b)2 – ¼ bx + ¼ bx –x2 = (1/4 b) – x2
*Binomio con termino comun:
1. (n – 19)(n+10) = n2 + 10n – 19n – 190 = n2 – 9n – 190
2. (a+4)(a+5) = a2 + 5a + 4a + 20 = a2 + 9a + 20
3. (3x -1)(3x+1) = (3x)2 + 3x – 3x – 1 = (3x2) – 1 = 9x2 – 1
*Binomio cubico:
1. (4n + 3)3 = (4n)3 + 3(4n)2(+3)+3(4n)(3)2+(3)3 = 64n3 + 3(16n2)(3)+(4n)(9)+9= 64n3 + 144n + 108n + 9 = 64n3 + 252n + 9
2. (2x+1)3 = (2x)3 + 3(2x)3(1)+3(2x)(1)3+(3)3 = 8x3 + 24x3 + 6x + 1 = 32x3 + 6x + 1
3. (a/2-b)3 = (a/2)3-3(a/2)2(b)+3(a/2)(b)2+(b)3 = a/83 – 3a2b/4 + 3ab2/2 – b3

Ejercicios productos notables:
*Binomio al cuadrado:
1. (x + 8)2 = (x + 8)(x+8) = x2 + 8x + 8x + 64 = x2 + 16x + 64
2. (y + 2x)2 = (y + 2x)(y + 2x) = y2 + 2xy + 2xy + 4x2 = y2 + 4xy +...