Question

Ejercicio Resuelto 89 del Algebra de Baldor

Answer 1

1.$a^2 +ab$=$a(a +b)$
2.$b+b^2$=$b(1 +b)$
3.$x^2 +x$=$x(x +1)$
4.$3a^3 -a^2$=$a^2(3a -1)$
5.$x^3 -4x^2$=$x^2(x-4)$
6.$5m+15m ^{3}$=$5m ^{2} (1+3m)$
7.$ab -bc= b(a -c)$
8. $x^{2} y+x ^{2}z = x^{2} (y+z)$
9. $2 a^{2} x+6a x^{2} = 2ax(a+3x)$
10.$8m^2 -12mn$=$4m(2m -3n)$
11. $9a^{3}x^{2} -18ax^{3} = 9ax^{2}( a^{2}-2x)$
12. $15c^3d^2 +60c^2d^3$=$15c^2d^2(c +4d)$
13. $35 m^{2} n^{3} -70 m ^{3} =35m^{2} ( n^{3} -2m)$
14. $abc+ab c^{2} =abc(1+c)$
15. $24 a^{2} xy^{2} -36 x^{2} y^{4}$
16.$a^{3} + a^{2} +a$=a($a^{2} +a+1$)
17.$4 x^{2} -8x+2 =2(2 x^{2} -4x+1)$
18. $15y^3 +20y^2 -5y= 5y(3y^2 +4y -1)$
19. $a^{3} +a^{2} +a= a (a^{2}+a+1)$
20. $2 a^{2} x+2ax^{2} -3ax= ax( 2a+2x-3)$
21. $x^{3} + x^{5}- x^{7} = x^{3}(x^{2}- x^{4}+1)$
22. $14 x^{2} y^{2}-28 x^{3}+56 x^{4}=14 x^{2} ( y-2x+4 x^{2} )$
23. $34a x^{2} +51 a^{2} y-68ay^{2}$
24.$- 96-48mn^2+144n^3= 48(2-mn^2+3n^3)$
25.$- a^2b^2c^2-a^2c^2x^2+a^2c^2y^2= a^2c^2(b^2-x^2+y^2)$
26.$55m^2n^3x+110m^2n^3x^2-220m^2y^3= 55m^2(n^3x+2n^3x-4y^3)$
27.$- 93a^3xy-62a^2x^3y^2-124a^2x= 31a^2x(3axy-2x^2y^2-4)$
28. $- x-x^2+x^3-x^4= x(1-x+x^2-x^3)$
29. $- a^6-3a^4+8a^3-4a^2= a^2(a^4-3a^2+8a-4)$
30.$- 25x^7-10x^5+15x^3-5x^2= 5x^2(5x^5-2x^3+3x-1)$
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Answer 2

Respuesta:

1.a^2 +aba2+ab =a(a +b)a(a+b)

2.b+b^2b+b2 =b(1 +b)b(1+b)

3.x^2 +xx2+x =x(x +1)x(x+1)

4.3a^3 -a^23a3−a2 =a^2(3a -1)a2(3a−1)

5.x^3 -4x^2x3−4x2 =x^2(x-4)x2(x−4)

6.5m+15m ^{3}5m+15m3 =5m ^{2} (1+3m)5m2(1+3m)

7.ab -bc= b(a -c)ab−bc=b(a−c)

8. x^{2} y+x ^{2}z = x^{2} (y+z)x2y+x2z=x2(y+z)

9. 2 a^{2} x+6a x^{2} = 2ax(a+3x)2a2x+6ax2=2ax(a+3x)

10.8m^2 -12mn8m2−12mn =4m(2m -3n)4m(2m−3n)

11. 9a^{3}x^{2} -18ax^{3} = 9ax^{2}( a^{2}-2x)9a3x2−18ax3=9ax2(a2−2x)

12. 15c^3d^2 +60c^2d^315c3d2+60c2d3 =15c^2d^2(c +4d)15c2d2(c+4d)

13. 35 m^{2} n^{3} -70 m ^{3} =35m^{2} ( n^{3} -2m)35m2n3−70m3=35m2(n3−2m)

14. abc+ab c^{2} =abc(1+c)abc+abc2=abc(1+c)

15. 24 a^{2} xy^{2} -36 x^{2} y^{4}24a2xy2−36x2y4

16.a^{3} + a^{2} +aa3+a2+a =a(a^{2} +a+1a2+a+1 )

17.4 x^{2} -8x+2 =2(2 x^{2} -4x+1)4x2−8x+2=2(2x2−4x+1)

18. 15y^3 +20y^2 -5y= 5y(3y^2 +4y -1)15y3+20y2−5y=5

Explicación:

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