Упр.333 ГДЗ Муравин 7 класс (Алгебра)

1) p^6 — p^8 + p^4; 4) 20x^4 — 25x^2 y^2 — 100x^3;
2) b^2 — b^7 + b^9; 5) a^2 bc — ab^2 c — abc^2;
3) 12a^2 b — 180ab^2 — 30ab^3; 6) c^3 xy + c^2 xy — cx^2 y^2.

1. $$p^6-p^8+p^4=p^4(p^2-p^4+1)$$
2. $$b^2-b^7+b^9=b^2(1-b^5+b^7)$$
3. $$12a^2b-180ab^2-30ab^3=6ab(2a-30b-5b^2)$$
4. $$20x^4-25x^2y^2-100x^3=5x^2(4x^2-5y^2-20x)$$
5. $$a^2bc-ab^2c-abc^2=abc(a-b-c)$$
6. $$c^3xy+c^2xy-cx^2y^2=cxy(c^2+c-xy)$$

Ответ

1. $$p^4(p^2-p^4+1)$$
2. $$b^2(1-b^5+b^7)$$
3. $$6ab(2a-30b-5b^2)$$
4. $$5x^2(4x^2-5y^2-20x)$$
5. $$abc(a-b-c)$$
6. $$cxy(c^2+c-xy)$$