Question

resolva as expresão

(x+2)²-(x+2) (x-2)

(2x+3) (2x-3)+(x-3)²

(3x+5)²-(3x-5)²

(x+3) (x-3)-(x+1) (x-1)

(x+4) (x²+2) (x-4)

Answer 1

Explicação passo-a-passo:

a) (x+2)²-(x+2) (x-2)=

(x+2).(x+2-(x-2) )=

( x+2)(x+2-x+2)=

(x+2).4

b)

(2x+3) (2x-3)+(x-3)²

4x^2 -9+x^2-6x+9

5x^2 -6x

c)

(3x+5)²-(3x-5)²

(5x)^2 - (3x-5)^2

(15x-(3x-5) ) × (15x + (3x-5) )

(12x+5)×(18x - 5 )

d)

(x+3) (x-3)-(x+1) (x-1)

x^2 - 9 - ( x-1)^2

x^2. - 9 - ( x^2 - 2x + 1)

x^2 - 9 - x^2 + 2x - 1

- 10 + 2x

e)

(x+4) (x²+2) (x-4)

(x+4)^2 ( x^2 + 2)

( x^2 + 8x + 16 ) (x^2 + 2)

x^4 + 2x^2 + 8x^3 + 16x + 16x^2 + 32

x^4. + 8x^3 + 18x^2+ 16x + 32