Trabajo en Matemáticas

Página 84

Ejercicios 53

2/3 x^4 y^3-1/5 x^3 y^4+1/4 x^2 y^5-xy^6 entre -1/5 xy^3

=(2/3 x^4 y^3-1/5 x^3 y^4+1/4 x^2 y^5-xy^6)/(-1/5 xy^3 )

=-10/3 x^3+x^2 y-5/4 xy^2-5y^3

Página 87

Ejercicios 55

a^4-a^2-2a-1 entre a^2+a+1

=a^4 -a^2-2a-1 a^2+a+1

-a^4-a^3-a^2 a^2-a-1

-a^3-a^2-2a

〖 a〗^3+a^2+a

-a^2-a-1

〖 a〗^2+a+1

0

m^5-5m^4 n+20m^2 n^3-16mn^4 entre m^2-2mn-8n^2

〖=m〗^5-5m^4 n +20m^2 n^3-16mn^4 m^2-2mn-8n^2

〖 -m〗^5+2m^4 n+8m^3 n^2 m^3-3m^2 n+2mn^(2 )

-〖3m〗^4 n+8m^3 n^2+20m^2 n^3

3m^4 n-6m^3 n^2-24m^2 n^3

2m^3 n^2-4m^2 n^3-16mn^4

- 2m^3 n^2+4m^2 n^3+16mn^4

0

Pagina 89

Ejercicios 56

a^(x+3)+a^x entre a+1

=a^(x+3) +a^x a+1

-a^(x+3)-a^(x+2) a^(x+2)-a^(x+1)+a^x

-a^(x+2)+a^x

〖 a〗^(x+2)-a^x

0

Pagina 171

Ejercicios 106

6x^2+19x-20

=((6〖x)〗^2+19(6x)-120)/6

=(6x+24)(6x-5)/6

=(x+4)(6x-5)

x^2-a^2+2xy+y^2+2ab+b^2

=(x^2+2xy+y^2 )-(a^2-2ab+b^2 )

=(x+y)^2-(〖a-b)〗^2

=[(x+y)-(a-b)][(x+y)+(a-b)]

=(x+y-a+b)(x+y+a-b)

〖15x〗^4-17x^2-4

=(〖〖(15x〗^2)〗^2-17〖(15x〗^2)-60)/(3×5)

=((15x^2-12)(15x^2-5))/(3×5)

=(5x^2-4)(3x^2-1)

a^2-d^2+n^2-c^2+2an-2cd

=(a^2-2an+n^2 )-(c^2+2cd+d^2 )

=(a-n)^2-(c+d)^2

=[(a-n)-(c+d)][(a-n)+(c+d)]

=(a-n-c-d)(a-n+c+d)

〖 15x〗^4-〖15x〗^3+〖20x〗^2

=5x^2 (3x^2-3x+4)

9x^2-y^2+3x-y

=( 9x^2-y^2 )+(3x-y)

=(3x-y)(3x+y)+(3x-y)

=(3x-y)(3x+y+1)

...