Contoh soal dan jawaban dari operasi hitung aljabar



Soal:
1. (10x+5y+z)-(5x+2y+4z)=
2. (6y+7x+z)-(-6x+3y-2z)=
3. 10x+5x-2x-3x-5x-2x-3x=
4. 20x²−10x²=
5. (-8x-5z+10y)-(2x-7z+5y)=
6. 5(x+y)
7. (2x+2)(x+5)=
8. (5x+2y)(4x+2)=
9. (2x+5y+z)(-4x+y)=
10. (5y+x)(2x+y)=
11. 9x:3x=
12. 12xy:2x=
13. 15x³:3x=
14. (12xy+5x):2x=
15. (18x²y+20xyz):2xy=
16. 2(2x+y):2=
17. (10x-5x)+2x=
18. ((20x+20y)-(15x+5y)):5=
19. ((5x+2y)(2x+2y)):2=
20. (5x+2x)(2x-x)=
21. (10y-15y)(5y-12y)=

Jawaban:
1. 10x-5x+5y-2y+z-4z
     =5x+3y-3z
2. 7x+6x+6y-3y+z+2z
     =13x+3y+3z
3. 0
4. 10x²
5. -8x-2x+10y-5y-5z+7z
     =-10x+5y+2z
6. 5x+5y
7. 2x²+10x+2x+10
     =2x²+12x+10
8. 20x²+10x+8xy+4y
9. -8x²+2xy-20xy+5y²-4xz+yz
     =-8x²+5y²-18xy-4xz+yz
10. 2x²+5y²+11xy
20.(7x)(x)=7x²
21.(-5y)(-7y)=35y²

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