Упр.13.20 ГДЗ Мерзляк Поляков 7 класс (Алгебра)

1) (4x-4y)^2; 4) (a^2-9a)^2;
2) (18a+27b)^2; 5) (16x^2 y+40xy^2 )^2;
3) (8m-10n)^3; 6) (22x^4-28x^2 y^3 )^5.

1. $$ (4x-4y)^2=(4(x-y))^2=4^2(x-y)^2=16(x-y)^2 $$
2. $$ (18a+27b)^2=(9(2a+3b))^2=9^2(2a+3b)^2=81(2a+3b)^2 $$
3. $$ (8m-10n)^3=(2(4m-5n))^3=2^3(4m-5n)^3=8(4m-5n)^3 $$
4. $$ (a^2-9a)^2=(a(a-9))^2=a^2(a-9)^2 $$
5. $$ (16x^2y+40xy^2)^2=(8xy(2x+5y))^2=(8xy)^2(2x+5y)^2=64x^2y^2(2x+5y)^2 $$
6. $$ (22x^4-28x^2y^3)^5=(2x^2(11x^2-14y^3))^5=(2x^2)^5(11x^2-14y^3)^5=32x^{10}(11x^2-14y^3)^5 $$

Ответ

$$16(x-y)^2;\ 81(2a+3b)^2;\ 8(4m-5n)^3;\ a^2(a-9)^2;\ 64x^2y^2(2x+5y)^2;\ 32x^{10}(11x^2-14y^3)^5$$