Question

Simplifique as expressões:
a)(3x+2).(3x-2)+(x+2)²
b)(5x-6)²-(5x+4).(5x-4)
c)32m²+16m-2.(4m+2)²

Answer 1

a](3x+2).(3x-2)+(x+2)²=

   9x²-6x+6x-4+(x²+4x+4)=

    9x²-4+x²+4x+4=

    10x²+4x=0

a-10       Δ=(b)²-4(a).(c)                x=-4+√16/2=0/2

b-4         Δ=(4)²-4(10).(0)              x=-4-√16/2=-8/2=-4          

c-o          Δ=16-0

               Δ=16

b](5x-6)²-(5x+4).(5x-4)=

   (25x²-60x+36)-(25x²-20x+20x-16)=

   25x²-60x+36-25x²+20x-20x+16=

   -60x+52

c]32m²+16m-2.(4m+2)²=

   32m²+16m-2(16m²+16m+4)=

  32m²+16m-32m²-32m-8=

  -16m-8

Answer 2

Resposta:

Explicação passo-a-passo:

a)(3x+2).(3x-2)+(x+2)²

=9x²-6x+6x-4+(x² 2.x.2+2²)

=9x²-4+x²+4x+4

=10x²+4x

b)(5x-6)²-(5x+4).(5x-4)=

(5x²2.5x.(-6)+(-6)² -(25x²-20x+20x-16)

=5x²-60x+36-25x2+16

=25x²-25x²-60x+36+16

= -60x+52

c)32m²+16m-2.(4m+1)²

=1024m²+16m-2.(4m² 2.4m.1+1²)

=1024m²+16m-32m²-16m-2

=1024m2+1024m²-2

= -2