Taller mat

e TALLER DE MATEMATICAS

Solución:
1) 14x2y2-28x3+56x4
=14x2y2-2x+4x2

2) 3a2b+6ab-5a3b2+8ax+4ab2m

=ab3a+6-5a2b+8ax+4bm)

3) 100a2b3c-150ab2c2+50ab3c3-200abc2=50abc(2ab2-3bc+b2c2-4c)

4) 2x-5y2=(2x)2-22x5y+(5y)2

=4x2-20xy+25y2

5) (3x+6x3y)2=(3x)2+23x6x3y+(6x3y)2

=9x236x4y+36x6y2

6) (4a2b2-3ab3)2=(4a2b2)2-24a2b23ab3+(3ab3)2=16a4b4-24a3b5+9a2b6

7) 100-x2x6=10-xy3(10+xy3)

8) 196x2y4-225z12=14xy2-15z6(14xy2+15z6)

9) 1-16a2b4c6d8=1-4ab2c3d4(1+4ab2c3d4)

10) x2-5x-36
=x-9(x+4)

11) x2+8x-180=x+18(x-10)
12) x2-30x-675
=x-45(x+15)

13) 12x2-7x-12

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

4x(-4)=-16x
3x3=9x
-16x+9x=-7x
=4x-3(3x+4)

14) 21x2+11x-2

21x2=(7x)(3)
-2=2(-1)

7x2=14x3x-1=-3
14x-3=11x
=7x-1(3x+2)

15) 4n2+n-33
4n2=4nn
-33=3(-11)
(4n)(3)=12n
(n)(-11)=-11n

-11n+12n=n
=4n-11(n+3)

16) (3x-4y)3=(3x)3-3(3x)24y+383x)(4y)2+(4y)3=27x3-108x2y+144xy2-64y3

17) (2x2+5xy)3=(2x2)3+3(2x2)25xy+3(2x2)(5xy)2+(5xy)3
=8x6+60x5y+150x4y2+125x3y3
18)(5a2b2-4a3b3)3=(5a2b2)3-3(5a2b2)24a3b3+3(5a2b2)(4a3b3)2-(4a3b3)3
=125a3b6-300a7b7+240a8b8+64a9b919)x3-27=x-3(x2+3x+9)
20)64a3-729a12=4a-9a12(16a2+36a6+81a36)

2 EJERCIOS

1limX-3(2X4-5X3+X2+6X-12)

=2(-3)4-5(-3)3+(-3)2+6-3-12
=281-5-27+9-18-12
162+135+9-18-9
=306-30
=276

2)limx→2(3X7+X5-2X310X)
=3(2)7+(2)5-2(2)3—10(2)
=3128+32−2(8)-20
=384+32-16-20
=416-36
=308

3) limX-2(6X3-5X2+X4X2+5X-1)

=6(-2)3-5(-2)2+(-2)4(-2)2+58-2-1

=6-8-54-244+5-2-1

=-48-20-216-10-1=-705
=-14

4)limx→1(-5x4+2x3-5x2).(-3x2-9x2+15)

=-51+21-51.-31-91+15
=-5+2-5.-3-9+15
=(-8)(-3)
=24

5)limx→23x2-2x+12

=3(4)-22+12

=12-4+12

=20

= 24. 25

=225

1)fx=x→ para ≤11-x→ para >1

fx=x para x≤1
x | y |
1 | 1 |
2 | 0 |
-1 | -1 |
-2 | -2 |
-3 | -3 |

fx=1-x para >1
X | y |
2 | -1 |
3 | -2 |
4 | -3 |
5 | -4 |...