20 preguntas de cálculo de factorización y sus respuestas

1. Factorizar 3A 3B 2C-6A 2B 2C 2+9AB 2C 3 = 3AB 2C(a2-2AC+3C 2)

2. Factorizar xy+6-2x-3y = (x- 3) ( y-2)

3. Factoriza x ^ 2(x-y)+y ^ 2(y-x)=(x+y)(x-y)2.

4. Factorizar 2x 2-(a-2b) x-ab = (2x-a) (x+b)

5. 2 (A+3b) (A-3b)

8. Factorización AB(x2-y2)+xy(a2-B2)=(ay+bx)(ax-by )

9. Factorizar (x+y)(a-b-c)+(x-y)(b+c-a)= 2y(a-b-c)

10. (A-B-1)

11. Factorizar (3a-b)2-4(3a-b)(a+3b)+4(a+3b )2 =[3a-b-2(a). +3b)]2 =(a-7b)2.

12. Factorizando (A+3)2-6(A+3)=(A+3)(A-3)1)x2+2xy+y2

2) x^2-y^2

1.a^4-4a+3

2.(a+x)^m+1*(b+x)^ n- 1-(a+x)^m*(b+x)^n

3.x^2+(a+1/a)xy+y^2

4.9 a^2-4b^2+4bc-c^2

5.(c-a)^2-4(b-c)(a-b)

La respuesta es 1. Fórmula original = a4-A-3A+3 =(A-1)(a3+a2+A-3).

2.[1-(a+x)^m][(b+x)^n-1]

3.(ax+y)(1/ax+ y )

4.9a^2-4b^2+4bc-c^2=(3a)^2-(4b^2-4bc+c^2)=(3a)^2-(2b - c)^2=(3a+2b-c)(3a-2b+c)

5.(c-a)^2-4(b-c)(a-b)

= ( c-a)(c-a)-4(ab-b^2-ac+bc)

=c^2-2ac+a^2-4ab+4b^2+4ac-4bc

=c^2+a^2+4b^2-4ab+2ac-4bc

=(a-2b)^2+c^2-(2c)(a-2b)

=(a-2b-c)^2

1.x^2+2x-8

2.x^2+3x-10

3.x^2-x-20

4.x^2+x-6

5.2x^2+5x-3

6.6x^2+4x-2

7.x^2-2x-3

8.x^2+6x+8

9 . x^2-x-12

10.x^2-7x+10

11.6x^2+x+2

12.4x^2 + 4x-3