Упр.13.1 ГДЗ Мерзляк Поляков 7 класс (Алгебра)

1) am+an; 8) ax+a; 15) a^6-a^3;
2) 6x-6y; 9) 7c-7; 16) b^2+b^8;
3) 4b+16c; 10) 24x+30y; 17) 7p^3-5p;
4) 12x-15y; 11) 10mx-15my; 18) 15c^2 d-3cd;
5)-cx-cy; 12) x^2+xy; 19) 14x^2 y+21xy^2;
6) 4bk+4bt; 13) 3d^2-3cd; 20)-2x^9+16x^6;
7)-8a-18b; 14) 4a^2+16ab; 21) 8a^4 b^2-36a^3 b^7.

1. $$am+an=a(m+n)$$
2. $$6x-6y=6(x-y)$$
3. $$4b+16c=4(b+4c)$$
4. $$12x-15y=3(4x-5y)$$
5. $$-cx-cy=-c(x+y)$$
6. $$4bk+4bt=4b(k+t)$$
7. $$-8a-18b=-2(4a+9b)$$
8. $$ax+a=a(x+1)$$
9. $$7c-7=7(c-1)$$
10. $$24x+30y=6(4x+5y)$$
11. $$10mx-15my=5m(2x-3y)$$
12. $$x^2+xy=x(x+y)$$
13. $$3d^2-3cd=3d(d-c)$$
14. $$4a^2+16ab=4a(a+4b)$$
15. $$a^6-a^3=a^3(a^3-1)$$
16. $$b^2+b^8=b^2(1+b^6)$$
17. $$7p^3-5p=p(7p^2-5)$$
18. $$15c^2d-3cd=3cd(5c-1)$$
19. $$14x^2y+21xy^2=7xy(2x+3y)$$
20. $$-2x^9+16x^6=-2x^6(x^3-8)$$
21. $$8a^4b^2-36a^3b^7=4a^3b^2(2a-9b^5)$$

Ответ

$$am+an=a(m+n),\; 6x-6y=6(x-y),\; 4b+16c=4(b+4c),\; 12x-15y=3(4x-5y),\; -cx-cy=-c(x+y),\; 4bk+4bt=4b(k+t),\; -8a-18b=-2(4a+9b),\; ax+a=a(x+1),\; 7c-7=7(c-1),\; 24x+30y=6(4x+5y),\; 10mx-15my=5m(2x-3y),\; x^2+xy=x(x+y),\; 3d^2-3cd=3d(d-c),\; 4a^2+16ab=4a(a+4b),\; a^6-a^3=a^3(a^3-1),\; b^2+b^8=b^2(1+b^6),\; 7p^3-5p=p(7p^2-5),\; 15c^2d-3cd=3cd(5c-1),\; 14x^2y+21xy^2=7xy(2x+3y),\; -2x^9+16x^6=-2x^6(x^3-8),\; 8a^4b^2-36a^3b^7=4a^3b^2(2a-9b^5)$$