: Lenguaje Algebraico

1. 2a+bc3= 2(2)2(3)(1)3= 24
A=2
B=3
C=1
2. 4bx3 =48(2)2= 48(8) = 464= 32
B=8
X=2
3. 8a /x+5b2/y- 2a2b/x2b=(8)(1)/3+(5)(2)2/4–(2)(1)2(2)/(3)2(4) = 8/3+(5)(4)/4–(2)(1)(2)/(9)(4) =8/3+20/4–4/36= 96+180-4/36=272/36=136/18=63/9=21/3=7/1= 7
A=1
B=2
X=3
Y=4
4. 4x+6/2= (4)(3)+6/2= 12+6/2=18/2=9/1= 9
X=3
5. Xy+3y= (2)(3)+(3)(3)= 6+9= 15
X=2
Y=3
6. 5w-3z/w+2z+2z=5(4.2)-3(3.6)/4.2+2(3.6)= 21-10.8/4.2+7.2=31.8/11.4= 2.78
w=4.2
z=3.6
1° 3ab+2ab+5b+2b = 5ab+7b = 5(1)(2)+7(2) = 10+14 = 24
3(1)(2)+2(1)(2)+5(2)+2(2) = 6+4+10+4 = 24
2° 6a2b+5ab2+a2b+3ab2 = 7a2b+8ab2 = 7(1)2(2)+8(1)(2)2 = 46
6(1)(2)+5(1) (2)2+(1)2(2)+3(1)(2)2 = 46
3° -3abc+2ab2c+3abc2+abc =-2abc+2ab2c+3abc2=2(1)(2)(3)+2(1)(2)2(3)+3(1)(2)(3)2 = 66
3(1)(2)(3)+2(1)(2)2(3)+3(1)(2)(3)2+(1)(2)(3) = 66

1° 3/4ab+1/2a+2/4ab+3/4a = 5/4ab+4/2a =-4/5(1)(2)+4/1(1) = 4 ½
= 3/4(1)(2)+1/2(1)+2/4(1)(2)+3/2(1) = 4 ½
2° 1/3ab2+2/4a2b+2ab2+3a2b = 7/3ab2+16/5a2b = 7/3(1)(2)2+14/4(1)2(2) = 16 1/3= 1/3(1)(2)2+2/4(1)2(2)+2(1)(2)2+3(1)2(2) = 16 1/3
3° 2/3a2b+1/5b+2/3a2b+3b = -4/5a2b+16/5b = -4/5(1)2(2)+16/5(2) = 5 13/15
= -2/3(1)2(2)+1/5(2)+2/5(1)2(2)+3(2) = 5 13/15

1° (3ab+4bc-3ab2)+ (-6ab2+2bc+ab) = 4ab+4bc-3ab2-6ab2-2bc+ab = 4ab+2bc-9ab2
= 4(1)(2)+2(2)(3)-9(1)(2)2 = 66
2°-(3a2+6b2-7c2)+(4b2+5a2-6c2)-(-3c2+2a2-5b2) = -3a2+6b2-7c2+4b2+5a2-6c2+3c2+2a2-5b2
=17a+5b2-16c2 = 17(1)+5(2)2-16(3)2 = -114
3° -(3/4ª+6/5b-2/3c)-(1/3c+2/4b-5/2a)+(-3/5b+2/4c-1/2a) = -3/4a+6/5b-2/3c+2/4b-3/2a-3/5b+2/4c-1/2a = 5/4(1)-23/10(2)+5/8(3) = 5/4-46/10+15/6 = -17/20

1° -(2/3ª+1/4b-1/6c)+(4/3c-1/8ª+2/3b)-(-2/3c+3/2a-5/3b) =

2° (3a+6b+7c)(-2a+3b-5c) =

3° (7ab+5c+2a)(-4ab+5bc+3c) =

4°(1/2a+4/3b+5/4c)(-3ª+5/2c-3/4b) =

1° (3/4a2b-1/3ab2+4/5ab)(2/3ab+2/5a2b-3/6ab2) = 53/225
3/4a2b-1/3ab2-3/6ab2 (3/4(1)2(2)-1/3(1)(2)2+4/5(1)(2))(2/3(1)(2)+2/5(1)(2)(2)-3/6(1)(2)2)
2/3ab+2/5a2b-3/6ab2 = 53/255
6/12a3b2-2/9a2b3+8/15a2b2 + 6/20a4b2-2/15a3b3+8/15a3b3 +9/24a3b3-3/18a2b4+12/30a2b3

2° (3ab+3bc-6ac)(1/4ab-2/5ac-2/7bc) = 0
3ab+3bc-6ac (3(1)(2)+3(2)(3)-6(1)(3))(1/4(1)(2)-2/5(1)(3)-2/7(2)(3))
1/4ab-2/5ac-2/7bc = 0
3/4a2b2+3/4ab2c-6/4a2bc - 6/5a2bc+6/5abc2-12/5a2c2 - 6/7a2bc+6/7b2c2-12/7abc2

1° 4a3b2 /(-2ab) = -2a2b 4a3b2-2ab = -2a2b

2° -20mx2y3 / 4xy3 = -5mx -20mx2y34xy3= -5mx

3° 3x2y3-5a2x4 / (-3x2) = -y+5/3a2x3 3x2y3-5a2x4-3x2 = 2a2x2y3-3x2 = - y+5/3a2x3

4° 4x8-10x6-5x4 / 2x3 = 2x-5x3-5/2x4x8-10x6-5x42x3 =2x5-5x352x

5° x4-5x3-10x2+15x / (-5x) = -1/5x3-x2+2x-3 x4-5x3-10x2+15x-5x = -15x3-x2+2x-3

6° 6ab2c3-3a3b4c3+2/3abc / a3b2c2 = 6/a c-3b2c+2/3a2bc
6ab2c3-3a3b4c3+23abca3b2c2 = 6 1a2c-3b2c+231a2∙1b∙1c =6ac-3b2c+23a2bc

1° 3x2+2x-8 / x+2 = 3x-4 2+2x+3x-4(-)3x2+2x-8-3x2-6-4-8+4-83x-4x+23x2-4x-6x-83x2-2x-8
2° 28x2-30y2-11xy / 4x-5y = 7x+6y 4x-5y7x+6y(-)28x2-30y2-11xy-88x2+35xy-30y2+24xy+24xy-30y2-24xy+30y2 7x+6y4x-5y28x2+24xy-35xy-30y228x2-11xy-30y2
3° 2x3-2-4x / 2+2x = x2-x-1 2+2xx2-x-1(-)2x3-4x-2-2x3-2x2-4x-2-2x2-2x2-4x-22x2+2x-2x-22x+2 x2-x-12x+22x3-2x2-2x2x2-2x-22x3-4x-2
4°...