Proyecto Modular 3 Matematicas 1

Laboratorio III

5. Operaciones con polinomios y productos notables.

Realiza las siguientes operaciones con polinomios:

〖(-2ab^3)〗^5 (-27a^(-3) b^9 )^2

(-2)^5 (〖a)〗^5 (b^3 )^5 (-27)^2

[-32a^5 b^((3)(5))][+729(a^(-3)(2) )(b^(9)(2) ]

(-32)(+729) (a^(5-6) b^(15+18))

-23328a^(-1) b^33

b)(8uv^3-12u^2 v^2+4u^3 v) (-3u^2 v^2+5u^3 v-9u)

u(8v^2-12uv^3+4u^2 v)(u)(-3uv^3+5u^2 v-9)

u^2 (8v^3-12uv+4u^2 )(u)(-3uv^3+5u^2 v-9)

u^2 v(8v^2-12uv+4u^2 v)(-3uv^3+5u^2 v-9)

8v^2 (-3uv^3+5u^2-9)=-24uv^5+40u^2 v^3-72v^2

u^2 v -12uv (-3uv^3+5u^2 v-9)=36u^2 v^4-60u^3 v^2+108uv

+4u^2 v(-3uv^3+5u^2 v-9)=-27u^3 v^4+20u^4 v^2-36u^2 v

u^2 v(-24uv^5+40u^2 v^3-72v^2+36u^2 v^4-60u^3 v^2+108uv-27u^3 v^4+20u^4 v^2-36u^2 v

Desarrolla y, si es posible, simplifica los siguientes productos notables:

c) (v^m w^n+4) (v^m w^n-2/6)

v^m w^n (v^m w^n-2/6)+4(v^m w^n-2/6)

v^2m w^2n-2/6 v^m w^n+4v^m w^n-8/6

v^2m w^2n+11/3 v^m w^n 4/3

d) ( 〖2/3 a^4 bc^3+4ab^3 c^2)〗^2

(2/3)(2/3)=4/9 (2/6)(4)=((2)(4))/6=8/6=4/3

2/3+4

(2+(3)(4))/3=(2+12)/3=14/3

Factoriza las siguientes expresiones algebraicas:

e) (18m^3+12m^2-15m-10

18(m^2)(m)+12m^2-15m-10

m^2 (2(9)m+(2)(6) )-15m-10

2m^2 (9m+6)-15m-10

〖2m〗^2 ([(3)(3)m+(3)(2) ]-15m-10

(2)(3)m^2+(3m+2)-15m-10

6m^2 (3m+2)-15m-10

〖6m〗^2 (3m+2)-[(3)(5)m-(5)(2)

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