Algebra ejercicio factorizacion

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FACTORIZACION

SERIE 1
1. =
2. x+xy=x(1+y)
3. =
4. =
5. =
6. =
7. =
8. =
9. =
10. =SERIE 2

*=
(x 2y2+xy2)+(3x+3y)
xy2(x+1)+3(x+y)

*=
(a5 b2 –a2 b5 )+(7a3 - 7b3 )=
a2 b2 (a3- b3 )+7(a3 –b3 )=(a2 b2 +7)(a3 - b3)

*=
(abc+bcx)+(a2+ ax)=
bc( a+x)+a(a+x)=
(bc+a)(a+x)

*=

(mx2 +nx2)-(my2 –ny2)=
x2 (m+n)- y2 (m+n)=
(x2-y2) (m+n)

*=
(x3+x2y)+(3x+3y)=
x2(x+y)+3(x+y)=
(x2+3)(x+y)

*=
(x4+x3 y3 )+(xy+y4 )=X3(x+y3 )+ y(x+y3)=
(x3+y)(x+y3 )

*=
(x4 –x3 y)+(xy2 –y3 )=
x3 (x -y)+y2 (x-y)=
(x3 +y2) (x -y)

*=
(m3+m2 n)+(mn2+n3 )=
m2 (m+n)+n2 (m+n)=
(m2+n2) (m+n)

*6xy+9x+4y+6 =
(6xy+9x)+(4y+6)=
3x(2y+3)+2(2y+3)=
(3x+2)(2y+3)

*=

(x3+x2y)+(x+y)=
x(x+y)+1(x+y)=
(x+1)(x+y)

SERIE 3

1. =
2. X2-2x+1=
3. 49a 2-14ab+b2=
4. 81x2-54xy+9y2=
5.49x4 y4 +42x2 y2+9=
6. 100x4+9y2-60x2 y=
7. -20mn+4m2+25n2=

8. 9x4 y6-24x3 y5+16x2 y4
9. 49R4 S2+64p6q2+112R2 Sp3 q=
10. P8+36q2 R2+12p4 qR=

SERIE 4

1. X4-1/16y4=
2. 0.625-y4=
3. X4 y6-x6 y4=
4. 49m4 n2-64m6n4=
5. X8 y8-1=
6. (x+3y)2-4z2=
7. 1-x2+2xy-y2=
8. 4x2+y2-4xy-25=
9. 9m4+11m2+4=
10. X4-7x2 y2+y4=
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