Question

Va rog urgent!!
Dau coroana

Answer 1

Răspuns:

Explicație pas cu pas:

3

a) (x - 2)^2 - 3^2 =(x - 2 + 3) (x - 2 - 3) = (x + 1)(x - 5)

b) (x + 1)^2 - 4^2 = (x + 1 + 4)(x + 1 - 4) =(x + 5) (x - 3)

c) (2x + 3)^2 - 4 = (2x + 3 + 2)(2x + 3 -2) = (2x + 5)(2x + 1)

_____________

4.

a) 4(x - 1)^2 - 1 = [2(x - 1) + 1][2(x - 1) - 1] = (2x - 2 + 1)(2x - 2 -1) = (2x - 1)(2x - 3)

b) 9(2x + 3)^2 - x^2 = [3(2x + 3) + x][3(2x + 3) - x] = (6x + 9 + x)(6x + 9 - x) =

= (7x + 9)(5x + 9)

c) 25x^2 - 49(x + 3)^2 = [5x + 7(x + 3)][5x - 7(x + 3)] = (5x + 7x + 21)(5x - 7x -21) = (12x + 21)(-2x - 21)

____________

5

b) x^2 + 5x + 4 = x^2 + x + 4x + 4 = x(x + 1) + 4(x + 1) = (x + 1)(x + 4)

c) x^2 + 8x + 7 = x^2 + x + 7x + 7 = x(x + 1) + 7(x + 1) = (x + 1)(x + 7)

d) x^2 + 7x + 12 = x^2 + 3x + 4x + 12 = x(x + 3) + 4(x + 3) = (x + 3)(x + 4)

f) x^2 + 8x + 15 = x^2 + 5x + 3x + 15 = x(x + 5) + 3(x + 5) = (x + 5)(x + 3)

g) x^2 + 9x + 14 = x^2 + 2x + 7x + 14 = x(x + 2) + 7(x + 2) = (x + 2)(x + 7)

______________

6

b) x^2 - 4x + 3 = x^2 - x - 3x + 3 = x(x - 1) - 3(x - 1) = (x - 1)(x - 3)

e) x^2 - 8x + 12 = x^2 - 2x - 6x + 12 = x(x - 2) - 6(x - 2) = (x - 2)(x - 6)

f) x^2 - 7x + 10 = x^2- 2x - 5x + 10 = x(x - 2) -5(x - 2) = (x - 2)(x - 5)

g) x^2 - 10x + 24 = x^2 - 4x - 6x + 24 = x(x - 4) - 6(x - 4) = (x - 4)(x - 6)