Factorizacion

SEP SEMS DGTA

SAETA

TEMA: FACTORISACION

NOMBRE DEL ALUMNO: ERIK JOEL MAY CASTILLO

NOMBHRE DEL FACILITADOR: ING. MARCELINO MAY DZIB

FACTOR COMUN-------------------------------------------------
7ª2B4C3+21B6C8+49ª3B9C
7B4C 7B4C 7B4C
= 7B4C(A2C2+3B2C2+7A3B5)

-------------------------------------------------
16AB5C7+8A2BC3+24A3C3
8AC28AC2 8AC2
= 8AC2(2B5C5+ABC+3A2

-------------------------------------------------
15A3B5C3+30A2B4+45A9B7C8
15A2B4 15A2B4 15A2B4
= 15A2B4(ABC3+2+3A7B3C8-------------------------------------------------
4A4B6C2+6A3B5C7+2B7C3
2B5C2 2B5C2 2B5C2
= 2B5C2(2A4B+3A3C5+B2C

-------------------------------------------------
36A8C5+72A6B3C7+144A4B2C
36A4B236A4B2 36A4B2
= 36A4B2(A4C5+2A2BC7+4C)

FACTOR POR AGRUPAMIENTO DE TERMINOS

-)16AB+4B-8A-2
(16AB-8ª) (4B-2)
4ª(4B-2) 1 (4B-2)
(4ª+1)(4B-22)

-)6ª-9B+21BX-14AX
(6ª-9B) (21BX-14AX)3(2A-3B) -7X(-3B+2A)
(3-7X) (2A-3B)

-)12AB+3B-8A-2
(12AB-8A) (3B-2)
4A(3B-2) 1 (3B-2)
(4A+1) (3B-2)

-)A+A2-B2-AB2
(a+a2) (-b2-ab2)
A(1+a) –b (1+a)
(a-b) (1+a)

-)xm-ym+xn-yn
(xm+xn)–( ym-yn)
x(m+n) –y (m+n)
(x-y) (m+n)

TRINOMIO CUADRADO PERFECTO

-24AB4+36ª2+4B8
(6ª-2B4)2

25ª2Y4-70AX3Y2+49X6
(5AY2-7X3)2

9A8Y12-60ª4X5Y6+100X10
(3ª4Y12-10X5)2

25X4-30X2Y+9Y2(5X2-3Y)2

X4-X2+169Y2
(X2-13Y)

FACTORIZACION DE UNA DIFERENSIA DE CUADRADOS

9A8B6-16ª6
(3A4B3+4A3) (3A4B3-4A3)

4B6Y4-25A4X6
(2B3Y2+5A2X3) (2B3Y2-5A2X3)

16A4B10-100A6
(4A2B5+10A3)(4A2B5-10A3)

9A2B2-16X2
(3AB+4X) (3AB-4X)

100X2Y4-169B6
(10XY2+13B3) (10XY2-13B3)

TRINOMIO CUADRATICO DE LA FORMA

A2-15A+56
(A-8) (A-7)

X2+5X-24
(X-3) (X+8)

X2-13+40
(X-5) (X-8)A2+6A-216
(A-18) (A+12) X2-19X+90 = (X-10) (X-9)

CUBOS PERFECTOS DE BINOMIO

125X3+150X2Y+60XY2+8Y3
(5X+2Y)3

9A-9A6B4+27A3B8-27B12
(A-3B)3...