Question

Reduaza a termos semelhantes:
a) x(x-2)+3x.(2x+5)

b) (x²-x+1).(x+1)

Answer 1

a)

$x(x-2)+3x(2x+5)\\\\ x.x+x.(-2)+3x.2x+3x.5\\\\ x^2-2x+6x^2+15x\\\\ x^2+6x^2-2x+15x\\\\ 7x^2+13x$

Caso queira na forma fatorada:

$7x^2+13x\\\\ x(7x+13)$


b)

$(x^2-x+1)(x+1)\\\\ x^2.x+x^2.1+(-x).x+(-x).1+1.x+1.1\\\\ x^3+x^2-x^2-x+x+1\\\\ x^3+1$

Answer 2

boa tarde

a)

x*(x - 2) +  3x*(2x + 5) 

x² - 2x + 6x² + 15x = 7x² + 13x 


b)

(x²-x+1).(x+1)= x^3 + 1