1.Scoateti factor comun:
8x³ +16x²-24x+40x⁵ =8x(5x⁴+x²+2x-3)
15xy²+45x²y=15xy(y+x)
x²/3+x/3+1/3=1/3(x²+x+1)
3x(x+2)-6(x+2) =(x+2)(3x-6)=3(x+2)(x-2)
2.Sa se calculeze:
(2x-1) (2x+1)+(x+2)(x-2)=4x²-1+x²-4=5x²-5=5(x²-1)=5(x+1)(x-1)
(x+3√2²)+(x-3√2² =x+18+x-18=2x
(x-3)²+(x-3) (x+3)=x²-6x+9+x²-9=2x²-6x=2x(x-3)
(x+y-3)² =x²+xy-3x+xy+y²-3y-3x-3y+9=x²+y²+2xy-6x-6y+9