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Ma puteti ajuta cu exercitile astea va rog
1.Scoateti factor comun:
8x la puterea a treia +16x²-24x+40x la a cincea
15xy²+45x²y
1 supra 3 x²+1 supra 3x+1 supra 3
3x(x+2)-6(x+2)
2.Sa se calculeze:
(2x-1) (2x+1)+(x+2) (x-2)
(x+3√2²)+(x-3√2²
(x-3)²+(x-3) (x+3)
(x+y-3)²


Răspuns :

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