Question

Descompuneti in factori termeni fiecarui raport si apoi simplificati:
a)x³-2x²/x²-4=
b)2x²+8x+8/(x+2)²=
c)x²-9/x³-6x²+9x=
d)m²-5m+6/m²+m-6=

Answer 1

a) x patrat( x-2)/(x-2)(x+2)=x patrat/c+2; b)2(x+2) la patrat/(x+2) la patrta=2;;;c) (x-3)(x+3)/x(x-3) la patrta=x+3/x(x-3);;;(m-2)(m-3)/m+3)(m-2)=m-3/m+3

Answer 2

$a)...\;=\frac{x^2(x-2)}{(x-2)(x+2)}=\frac{x^2}{x+2};\\ b)...\;=\frac{2(x^2+4x+4)}{x^2+4x+4}=\,2\;\\ c)...\;=\frac{(x-3)(x+3)}{x(x-3)^2}=\frac{x+3}{x(x-3)}\;;\\ d)...\;=\frac{m(m-2)-3(m-2)}{m(m-2)+3(m-2)}=\frac{(m-2)(m-3)}{(m-2)(m+3)}=\frac{m-3}{m+3}$