Question

Ajutați-mă la acest exercițiu vă roggg ​

Answer 1

Răspuns:

a)

${x}^{2} - 5x + 6 = {x}^{2} - 2x - 3x + 6 = x(x - 2) - 3(x - 2) = (x - 2)(x - 3)$

b)

${x}^{2} - 7x + 12 = {x}^{2} - 3x - 4x + 12 = x(x - 3) - 4(x - 3) = (x - 3)(x - 4)$

c)

${x}^{2} - 9x + 20 = {x}^{2} - 4x - 5x + 20 = x(x - 4) - 5(x - 4) = (x - 4)(x - 5)$

d)

${x}^{2} - 13x + 42 = {x}^{2} - 6x - 7x + 42 = x(x - 6) - 7(x - 6) = (x - 6)(x - 7)$

e)

${x}^{2} - 10x + 16 = {x}^{2} - 2x - 8x + 16 = x(x - 2) - 8(x - 2) = (x - 2)(x - 8)$

f)

${x}^{2} - 9x + 14 = {x}^{2} - 2x - 7x + 14 = x(x - 2) - 7(x - 2) = (x - 2)(x - 7)$

g)

${x}^{2} - 14x + 48 = {x}^{2} - 6x - 8x + 48 = x(x - 6) - 8(x - 6) = (x - 6)(x - 8)$

h)

${x}^{2} - 12x + 20 = {x}^{2} - 2x - 10x + 20 = x(x - 2) - 10(x - 2) = (x - 2)(x - 10)$