Ciencias

Exponentes:
x3x2=x5
a-4b-3a-2b1= a-6b-2
x42= x8
y-82= y16
x5y8x7y9= x-2y-1
102xy10xy0-3=10-6x-3y-310-3x-3=10-6y-310-3= 10-3y-3
x7x7=1
a2b3a6b1=a-4b2
2x2y320xy22=4x4y6x2y4=4x2y2
a-9a-3=a-6
32xy39x2=32x3y381x2=6x3y381x2=681xy3
25ax2y35a4x-2y0-2=25-2a-2x-4y-65-2a-8x4=5a6x-8y-4

Reducción de términos semejantes
3x+7x=10x
6mn2-m2n-3mn2-mn2=2mn2-m2n
7a-9b+6a-4b=13a-13b5x3y-2x3y-x3y-2x3y=0
14x+23x-58=3+812x-58=1112x-58
-2ab-7ab+8ab+5ab=4ab
6m-9m=-3m
4y3-2y3-7y3=-5y3
7t+r-4s-r-3t-s=-5s+4t

Elimine los símbolos de agrupación y reduzca términos semejantes.
4x+2+6x=4x+2+6x=10x+2
9a+5-8a=9a+5-8a=a+5
3x-7x-5=3x-7x+5=-4x+5
36r-7s-r+4s=18r-21s-r-4s=17r-25s
-29r-8m-r+2m=-18r-16m-r+2m=-18r-16m-r-2m=-18r+16m+r+2m=-17r+18m
--72m-4n-53n+6m=--14m+28n-15n-30m=--44m+13n=44m-13n52b-4-38b+1=10b-20-24b-3=-14b-23
-4+6x+3y-1+79x+y=-4+6x+18y-1+63x+7y=-69x+25y+3=-69x-25y-3

Realizar las siguientes sumas y diferencias de polinomios
7a+4b+5c+-7a+4b-8c=7a+4b+5c-7a+4b-8c
9x-3y+5+-x-y+4+-5x+4y-9=9x-3y+5-x-y+4-5x+4y-9
7x26-9x8+265x2-2x4+32=56x2-9x+964824x2-8x+3020=1344x4-448x3+168x2-216x3+72x2-270x+2304x2-768x+2880960=1344x4-664x3+2544x2-1038x+28809604a-20-3a-40=4a-20-3a+40=a+20

2a+-5a--2b+-a+b=2a+-5a--2b-a+b=2a+-5a+2b+a-b=2a-5a+2b+a-b

3x-5+2x+3=3x-5+2x+3=5x-2

3x2-4xy+y2+-5xy+6x2-3y2=3x2-4xy+y2-5xy+6x2-3y2=9x2-9xy-2y2

2x-7-3x-8=2x-7-3x+8=-x+1

34x2-72x+-34x2+52x-32=34x2-72x-34x2+52x-32=-22x-32=-x-32

--27x+-8x-16y-24+-4x+7y=--27x-8x-16y-24+-4x-7y=27x+8x+16y+24-4x-7y=31x+9y+24

Realizar las siguientes multiplicaciones de polinomios
x23=x6-7a-b-2ac=7ab-2ac=-14a2bc

2t-3t+2t-t+5+1=2t-3t+2t-t-5+1=2t-3t+2t-2t-10+1=2t-3t-6t+6t+30-3=t+27

x+6x-7=x2-7x+6x-42=x2-x-42

a2b33=a6b9

12a-23b25a2=12a25a2-23b25a2=210a3-415a2b

5t2+2t+1+32t2+t-4=5t2+10t+5+6t2+3t-12=11t2+13t-7

2a-63a+5=6a2+10a-18a-30=6a2-8a-30

x3x2=x
12x3+17x2-53x+125x=125x2+175x-535+125x

a4-a2-2a-1a2+a+1=a2-a-1

4x3-13x2+6x-2x=-2x2+132x-3x2+6x-16x2+4x-32=

-35x4y6-15x3y4=3xy2

a2+2ab+b2-1a+b-1=a+b+1

Resuelve los siguientes productos notables:
x+7x+2=x2+2x+7x+14=x2+9x+14

x-8x+3=x2+3x-8x-24=x2-5x-24

a-2a-4=a2-4a-2a+8=a2-6a+8

5x+75x+11=25x2+55x+35+77=25x2+90x+77

-y+2-y-3=y2+3y-2y-6=y2+y-6

7x-83=7x-87x-8=49x2-112x+647x-8=343x3-392x2-784x2+896x+448x-512=343x3-1176x2+1344x-51212-c3=12-c12-c=14-2c2-c2=14-c-c212-c=18-c4-c2+c2-c22+c3=18-3c4+c22+c3

4n-3m3=4n-3m4n-3m=16n2-12mn-12mn+9m2=16n2-24mn+9m24n-3m=64n3-48mn2-96mn2+72m2n+36m2n-27m3=64n3-144mn2+108m2n-27m3

xy+23=xy+2xy+2xy+2=x3y3+2x2y2+4x2y2+8xy+4xy+8=x3y3+6x2y2+12xy+8

2x+4y3=2x+4y2x+4y2x+4y=8x3+32x2y+32xy2+16x2y+64xy2+64y3=8x3+48x2y+96xy2+64y3

x+6x-6=x2-6x+6x-36=x2-36

2x-72x+7=4x2-49

8-m+n8+m+n=8-m-n8+m+n=64+8m+8n-8m-m2-mn-8n-mn-n2=64-m2-2mn-n2xn+ynxn-yn=x2n-y2n

x+5x2-5x+25=x3-5x2+25x+5x2-25x+125=x3+125

Realizar los siguientes ejercicios de factorización
x2+2x-15=(x-3)(x+5)

x2-7+12=(x-4)(x-3)

x2+2x-8=x-2x+4

x2+x-2=x+2x-1

c2-5c-24=c-8c+3

2x2-y-6=2x+3x-2

x2-2x+1=x-1x-1

b2+b-30=b-5b+6

3x2-5x+2=3x-2x-1

18x2+3x-1=6x-13x+1

4x2-64=2x-82x+8

x2-81=x-9x+9

25x2-4y2=5x-2y5x+2y

1-m2n4=1-mn21+mn2-49x2+94y2=32y-23x32y+23x

x3-1=x-1x2+x+1

y3-a6=y-a2y2+ay2+a4

1-729c3=1-9c1+9c+81c2

8a3+27b6=2a+3b24a2-6ab2+9b4

64+n3=4+n16-4n+n2

Resolver las ecuaciones siguientes:
4x-6=0
4x=6
x=64

5x=8x-15
5x-8x=-15
-3x=-15
x=-15-3
x=5

6x2-x-15=0
x=-b±b2-4ac2a=-(-1)±(-1)2-4(6)(-15)2(6)=-(-1)±36112=1±1912
x1=1+1912=53
x2=1-1912=-32

3x2-5x+2=0x=-b±b2-4ac2a=-(-5)±(-5)2-4(3)(2)2(3)=-(-5)±16=5±16
x1=5+16=1
x2=5-16=23

x+3x-1=6-42x+3
x+3x-3=6-8x-12
4x-3=-8x-6
4x+8x=-6+3
12x=-3
x=-312=-14
17x+3=4
17x=4-3
x=171
x=7

x+5=x+16
6(x+5)=x+1
6x+30=x+1
6x-x=1-30
5x=-29
x=-295

x2-x-2=0
x-2x+1
x1=x-2=0
x1=2
x1=x+1=0
x2=-1

x2-5x-24=0
x-8x+3
x1=x-8=0
x1=8
x1=x+3=0
x2=-3

4x2+12x-160=0
x=-b±b2-4ac2a=-(12)±(12)2-4(4)(-160)2(4)=-(12)±27048=-12±528...