Question

Descompuneţi în factori: 
1. x²-5x
2. 3x¹°+9x⁸ (puterea 10 si puterea 8 ) .
3. x(x+1)-x-1
4. x²(x+1)+x(x+1)²
5. xy-x-y+1
6. 9xy+3x-3y-1
7. 25x²-49
8. (x-2)²-4x²
9. x²+6x+9-y²
10. 2x²+x-1
11. x³+x²-16x-6
Va rog..

Answer 1

1) x^2-5x=x(x-5)
2. 3x¹°+9x⁸ =3x^8(x^2+3)
3. x(x+1)-x-1=x(x+1)-(x+1)=(x+1)(x-1)
4. x²(x+1)+x(x+1)²=x(x+1)(x+x+1)=x(x+1)(2x+1)
5. xy-x-y+1
6. 9xy+3x-3y-1
7. 25x²-49=5x)^2-7^2
8. (x-2)²-4x²=(x-2)^2-(2x)^2
9. x²+6x+9-y²=x^2+Y^2+3(2x-3)
10. 2x²+x-1=x(2x+1)-1
11. x³+x²-16x-6