Question

Metode combinate de descompunere in factori: Cum se rezolva exercitiile urmatoare: a) $x^{2} +9x+14$ b) $x^{2} -10x+24$ c) $(x- \sqrt{3}) ^{2} -(2 \sqrt{3}) ^{2}$ d) $x^{2} +4x+4-16y ^{2}$ Rezolvatimi va rogg! (si corect)

Answer 1

a) x^2+9x+17=x^2+7x+2x+14=x(x+7)+2(x+7)=(x+7)(x+2)

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

c)  ... = (x-rad3+2rad3)(x-rad3-2rad3)=(x+rad3)(x-3rad3)

d)  ... = (x+2)^2 - (4y)^2 =(x+2+4y)(x+2-4y)