Question

Resolva as seguintes operações algébricas:

A) (5x^3+3xy-y^2) + (7x^3-5xy-y^2)
B) (8mn-4m^2) - (5mn-6m^2)
C) (5x^2 + 4xy).(2x-2y+2)
D) (x+8).(x-5)

Answer 1

Resposta:

Por partes:

A) 5x^3+xy-y^3+(7x^3-5xy-y^2)=

5x^3+xy-y^3+(7x^3-5xy-y^2)=5x^3+xy-y^2+7x^3-5xy-y^2=

5x^3+xy-y^3+(7x^3-5xy-y^2)=5x^3+xy-y^2+7x^3-5xy-y^2=12x^3+3xy-y^2-5xy-y^2=

5x^3+xy-y^3+(7x^3-5xy-y^2)=5x^3+xy-y^2+7x^3-5xy-y^2=12x^3+3xy-y^2-5xy-y^2=12x^3-2xy-y^2-y^2=

5x^3+xy-y^3+(7x^3-5xy-y^2)=5x^3+xy-y^2+7x^3-5xy-y^2=12x^3+3xy-y^2-5xy-y^2=12x^3-2xy-y^2-y^2=12x^3-2xy-2y^2=

5x^3+xy-y^3+(7x^3-5xy-y^2)=5x^3+xy-y^2+7x^3-5xy-y^2=12x^3+3xy-y^2-5xy-y^2=12x^3-2xy-y^2-y^2=12x^3-2xy-2y^2=2(6x^3-xy-y^2)

B) 8mn-4m^2-(5mn-6m^2)=

8mn-4m^2-(5mn-6m^2)=8mn-4m^2-5mn+6m^2=

8mn-4m^2-(5mn-6m^2)=8mn-4m^2-5mn+6m^2=3mn-4m^2+6m^2=

8mn-4m^2-(5mn-6m^2)=8mn-4m^2-5mn+6m^2=3mn-4m^2+6m^2=3mn+2m^2

C) 5x^2(2x-2y+2)+4xy(2x-2y+2)=

5x^2(2x-2y+2)+4xy(2x-2y+2)=10x^3-10x^3y+10x^2+4xy.(2x-2y+2)=

5x^2(2x-2y+2)+4xy(2x-2y+2)=10x^3-10x^3y+10x^2+4xy.(2x-2y+2)=10x^3-10x^2y+10x^2+8x^2y-8xy^2+8xy=

5x^2(2x-2y+2)+4xy(2x-2y+2)=10x^3-10x^3y+10x^2+4xy.(2x-2y+2)=10x^3-10x^2y+10x^2+8x^2y-8xy^2+8xy=10x^3-2x^2y+10x^2-8xy^2+8xy=

5x^2(2x-2y+2)+4xy(2x-2y+2)=10x^3-10x^3y+10x^2+4xy.(2x-2y+2)=10x^3-10x^2y+10x^2+8x^2y-8xy^2+8xy=10x^3-2x^2y+10x^2-8xy^2+8xy=10x^3-2x^2y+10x^2-8xy^2+8xy

D) x.x-5x+8x-8.5=

x.x-5x+8x-8.5=x^2-5x+8x-8.5=

x.x-5x+8x-8.5=x^2-5x+8x-8.5=x^2-5x+8x-40=

x.x-5x+8x-8.5=x^2-5x+8x-8.5=x^2-5x+8x-40=x^2+3x-40

Explicação passo-a-passo:

Espero ter ajudado!