Question

DESCOMPUNETI IN FACTOR COMUN,SCOTAND FACTOR COMUN.VA ROG!
a)3x(x-2)+(x-2)LA A DOUA -5(x-2) VA ROG!
b)(x-1)(x-2)+4(x-1)LA A DOUA-4x(x-1) VA ROG!
c)(x-4)(3x+7)-(x-4)(4x+2)+3(x-4)
VA ROOOOG DACA VRETI SA MA AJUTATI LA TOT PAGINA 29 EX. 9 PARALELA 45 SEM 2 VA ROG MACAR PE ASTA!!!VA ROG DAU 10 P.

Answer 1

a)3x(x-2)+(x-2)² -5(x-2) =
3x²-6x+x²-4x+4-5x+10=
4x²-15x+14=
x(4x-15)+14

b)(x-1)(x-2)+4(x-1)²-4x(x-1)=
x²-2x-x+2+4(x²-2x+1)-4x²+4x=
x²-3x+2+4x²-8x+4-4x²+4x=
x²-7x+6=
x(x-7)+6

c)(x-4)(3x+7)-(x-4)(4x+2)+3(x-4)=
3x²+7x-12x-28-(4x²+2x-16x-8)+3x-12=
3x²-5x-28-4x²+14x+8+3x-12
=-x²+12x-32               inmultim cu -1
=x²-12x+32
=x(x-12)+32

(2x+1)²-(3x-2)(2x+1)+3x(2x+1)=
4x²+4x+1-(6x²+3x-4x-2)+6x²+3x=
4x²+4x+1-6x²+x+2+6x²+3x=
4x²+8x+3=
4x(x+2)+3
 
(4x-5)(3x+2)²-(3x+2)³+2 (x+4)(3x+2)²=
(3x+2)²[4x-5-1+2(x+4)]=
(9x²+12x+4)(4x-6+2x+8)=
(9x²+12x+4)(8x+2)=
72x³+18x²+96x²+24x+32x+8=
72x³+114x²+56x+8=
6x²(12x+19)+8(7x+1)