Algebra
Páginas: 3 (530 palabras)
Publicado: 30 de noviembre de 2012
EJERCITACIÓN: PRODUCTOS NOTABLES
Resuelve los siguientes cuadrados de binomios: 1. (x + 5)² = x2+10x+25 2. (x - 7)²= x2+14x+49 3. (a + 1)² = a2+2a+1 4. (m + 21)²= m2+42m+441 5. (x - 2)² = x2-4x+46.(x - 18)² = x2-36x+324 7. (p + 5q)² = p2+10pq+25q2 8. (x - 3y)² = x2-6x+9 9. (2x + 6)² = 4x2+24x+36 10. (3x - 5)² = 9x2-30x+25 11. (6x - 8y)² = 36x2-96x+25 12. (0,2x - 3)² = 0.04x2-1.2x+9 13. (5a -0,3)² = 25a2-3a+0.09 14. ( - 5)² = 916x2-30x+25 15. =49a2-ab+916b2 Determina el área del cuadrado cuyo lado mide: a) x + 12= x2+24x+144 b) 2x – 1= 4x2-4x+1 c) 0.3x + 2= 0.09x2+1.2x+4 d)4/25x2+4/5x+y2 | Desarrolla los siguientes productos: 1) (x + 2)2 = x2+4x+4 2) (x + 2)(x + 3) = x2+5x+6 3) (x + 1)(x – 1) = x2-1 4) (x – 1)2 = x2-2x+1 5) (n + 3)(n + 5) = n2+8n+15 6) (m –3)(m + 3) = m2-9 7) (a + b – 1)(a + b + 1) =a2+2ab+b2-1 8) (1 + b)3 = 1+3b+3b2+b3 9) (a2 + 4)(a2 – 4) = a4-16 10) (3ab – 5x2)2 = 9a2b2-30abx2+25x4 11) (ab + 3)(3 – ab) = -a2b2+9 12) (1– 4ax)2 = 1-8ax+16a2x2 13) (a2 + 8)(a2 – 7) = a4+a2-56 14) (x + y + 1)(x – y – 1) = x2-y2-2y-1 15) (1 – a)(a + 1) = 1-a2 16) (m – 8)(m + 12) = m2+4m-96 17) (x2 – 1)(x2 + 3) = x4+2x2-318) (x3 + 6)(x3 – 8) = x6-2x3-48 19) (5x3 + 6m4)2 = 25x6+60x3m4+36m8 20) (x4 – 2)(x4 + 5) = x8+3x4-10 |
Desarrolla los siguientes productos notables:
1.(2a + 3b)2 = 4a2+12ab+9b2
2.(a2b2 – 1)( a2b2 + 7) = a4b4+6a2b2-7
3. (a2 + 3b)3 = a6+9a4b+27a2b2+27b3
4. (xa+1 – 3xa-2)2 = x2a+2-6x2a-1+9x2a-4
5. (a + b)(a – b)( a2 - b2) = a4-2a2b2+b4
6. (2a – 1)(1 + 2a) = 4a2-1
7. (am +bn)( am - bn) = a2m-b2n
8. (ax+1 – 2bx-1)( 2bx-1 + ax+1) =a2x+2-4b2x-2
9. (a – 11)(a + 10) = a2-a-110 | 10.(x3+7)(x3+6)= x6+13x3+42
11.(2m+9)(2m–9)= 4m2-81
12.(n2+2n+1)(n2–2n–1)= n4-4n2-4n-113.(a+1)(a+2)(a–1)(a–2)= a4-5a2+4
14.(a2–ab+b2)(a2–b2+ab)= a4-a2b2+2ab3-b4
15.(10x3–9xy5)2= 100x3-180x4y5+81x2y10
16.(ax-2–5)2= a2x-4-10ax-2+25 17.(81a2+125b4)(81a2–125b4)= 6551a4-15625b8
18....
Resuelve los siguientes cuadrados de binomios: 1. (x + 5)² = x2+10x+25 2. (x - 7)²= x2+14x+49 3. (a + 1)² = a2+2a+1 4. (m + 21)²= m2+42m+441 5. (x - 2)² = x2-4x+46.(x - 18)² = x2-36x+324 7. (p + 5q)² = p2+10pq+25q2 8. (x - 3y)² = x2-6x+9 9. (2x + 6)² = 4x2+24x+36 10. (3x - 5)² = 9x2-30x+25 11. (6x - 8y)² = 36x2-96x+25 12. (0,2x - 3)² = 0.04x2-1.2x+9 13. (5a -0,3)² = 25a2-3a+0.09 14. ( - 5)² = 916x2-30x+25 15. =49a2-ab+916b2 Determina el área del cuadrado cuyo lado mide: a) x + 12= x2+24x+144 b) 2x – 1= 4x2-4x+1 c) 0.3x + 2= 0.09x2+1.2x+4 d)4/25x2+4/5x+y2 | Desarrolla los siguientes productos: 1) (x + 2)2 = x2+4x+4 2) (x + 2)(x + 3) = x2+5x+6 3) (x + 1)(x – 1) = x2-1 4) (x – 1)2 = x2-2x+1 5) (n + 3)(n + 5) = n2+8n+15 6) (m –3)(m + 3) = m2-9 7) (a + b – 1)(a + b + 1) =a2+2ab+b2-1 8) (1 + b)3 = 1+3b+3b2+b3 9) (a2 + 4)(a2 – 4) = a4-16 10) (3ab – 5x2)2 = 9a2b2-30abx2+25x4 11) (ab + 3)(3 – ab) = -a2b2+9 12) (1– 4ax)2 = 1-8ax+16a2x2 13) (a2 + 8)(a2 – 7) = a4+a2-56 14) (x + y + 1)(x – y – 1) = x2-y2-2y-1 15) (1 – a)(a + 1) = 1-a2 16) (m – 8)(m + 12) = m2+4m-96 17) (x2 – 1)(x2 + 3) = x4+2x2-318) (x3 + 6)(x3 – 8) = x6-2x3-48 19) (5x3 + 6m4)2 = 25x6+60x3m4+36m8 20) (x4 – 2)(x4 + 5) = x8+3x4-10 |
Desarrolla los siguientes productos notables:
1.(2a + 3b)2 = 4a2+12ab+9b2
2.(a2b2 – 1)( a2b2 + 7) = a4b4+6a2b2-7
3. (a2 + 3b)3 = a6+9a4b+27a2b2+27b3
4. (xa+1 – 3xa-2)2 = x2a+2-6x2a-1+9x2a-4
5. (a + b)(a – b)( a2 - b2) = a4-2a2b2+b4
6. (2a – 1)(1 + 2a) = 4a2-1
7. (am +bn)( am - bn) = a2m-b2n
8. (ax+1 – 2bx-1)( 2bx-1 + ax+1) =a2x+2-4b2x-2
9. (a – 11)(a + 10) = a2-a-110 | 10.(x3+7)(x3+6)= x6+13x3+42
11.(2m+9)(2m–9)= 4m2-81
12.(n2+2n+1)(n2–2n–1)= n4-4n2-4n-113.(a+1)(a+2)(a–1)(a–2)= a4-5a2+4
14.(a2–ab+b2)(a2–b2+ab)= a4-a2b2+2ab3-b4
15.(10x3–9xy5)2= 100x3-180x4y5+81x2y10
16.(ax-2–5)2= a2x-4-10ax-2+25 17.(81a2+125b4)(81a2–125b4)= 6551a4-15625b8
18....
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