Question

8. Escreva os polinômios abaixo na forma reduzida.
a) 5ax^2 - 8(a - ax^3) - (-5a - 7ax^3)
b) (-13ab + 5a) - (-12ab-6a^2 - 3a) - (2ab-a^2)
c) (7x^2 + 7) + (-x + 2) - (2x^2- 1)+(-7x^2+ 2x - 2)
d) (-9x + 10)-(3x - 5) + (-3x - 5) - (17x + 10)
e) -2x - (y +5 - 5x) - (xy + 3y) + (-2y + 7x - 4xy)​

Answer 1

Resposta:

a) 5ax^2 - 8(a - ax^3) - (-5a - 7ax^3)=

5ax^2-8a-8ax^3+5a+7ax^3=

5ax^2-8ax^3+7ax^3-8a+5a=

5ax^2-ax^3-3a

b) (-13ab + 5a) - (-12ab-6a^2 - 3a) - (2ab-a^2)

-13ab+5a+12ab+6a^2+3a-2ab+a^2=

6a^2+a^2-13ab+12ab+5a+3a=

7a^2-ab+8ab

c) (7x^2 + 7) + (-x + 2) - (2x^2- 1)+(-7x^2+ 2x - 2)

7x^2+7-x+2-2x^2+1-7x^2+2x-2=

7x^2-2x^2-7x^2-x+2x+7+2+1-2=

-2x^2+x+8

d) (-9x + 10)-(3x - 5) + (-3x - 5) - (17x + 10)

-9x+10-3x+5-3x-5-17x-10=

-9x-3x-3x-17x+10+5-5-10=

-12x-20x=

-32x

e) -2x - (y +5 - 5x) - (xy + 3y) + (-2y + 7x - 4xy)

-2x-y-5+5x-xy-3y-2y+7x-4xy=

-xy-4xy-2x+5x+7x-y-3y-2y-5=

-5xy+10x-6y-5

espero que isso ajude vc