Question

Замени заглавные буквы на нужное значение

Answer 1

1. $A=(a+2)^2$

2.$B=6(m-n); C=\frac{5}{6}$

3.$D=2(x-3y);E=\frac{2}{x+3y}$

4.$F=\frac{y+5}{2}$

5.$G=\frac{m-4n}{m+4n}$

6.$H=7k-p; I=-\frac{1}{7k+p}$

7.$K=\frac{12-x}{3}$

8.$L=a^3-a^2$

9.$M=\frac{9}{c+2}$

Объяснение:

1. $\frac{3(a+2)^3}{(a+2)^5}=\frac{3}{(a+2)^2}$

$A=(a+2)^2$

2. $\frac{5m-5n}{6m-6n}=\frac{5(m-n}{6(m-n)}=\frac{5}{6}$

$B=6(m-n); C=\frac{5}{6}$

3.$\frac{2x-6y}{x^2-9y^2}=\frac{2*x-2*3y}{x^2-(3y)^2}=$

$\frac{2(x-3y)}{(x+3y)(x-3y}=\frac{2}{x+3y}$

$D=2(x-3y);E=\frac{2}{x+3y}$

4.$\frac{y^2-25}{2y-10}=\frac{y^2-5^2}{2*y-2*5}=$

$\frac{(y-5)(y+5)}{2(y-5)}=\frac{y+5}{2}$

$F=\frac{y+5}{2}$

5.$\frac{m^2-8mn+16n^2}{m^2-16n^2}=$

$\frac{m^2-2*m*(4n)+(4n)^2}{m^2-(4n)^2}=$

$\frac{(m-4n)^2}{(m+4n)(m-4n)}=\frac{m-4n}{m+4n}$

$G=\frac{m-4n}{m+4n}$

6.$\frac{p-7k}{49k^2-p^2}=\frac{-(7k-p)}{(7k)^2-p^2}=$

$-\frac{7k-p}{(7k-p)(7k+p}=-\frac{1}{7k+p}$

$H=7k-p; I=-\frac{1}{7k+p}$

7. $\frac{(x-12)^2}{36-3x}=\frac{(12-x)^2}{3*12-3*x}=$

$\frac{(12-x)^2}{3(12-x)}=\frac{12-x}{3}$

$K=\frac{12-x}{3}$

8. $\frac{a^7-a^5}{a^4+a^3}=\frac{a^5*a^2-a^5*1}{a^3*a+a^3*1}=$

$\frac{a^5(a^2-1)}{a^3(a+1)}=\frac{a^2(a^2-1^2}{a+1}=$

$\frac{a^2(a-1)(a+1)}{a+1}=a^2(a-1)=a^3-a^2$

$L=a^3-a^2$

9. $\frac{9c^2-18c+36}{c^3+8}=\frac{9*c^2-9*2c+9*4}{c^3+2^3}=$

$\frac{9(c^2-2c+4)}{(c+2)(c^2-c*2+2^2}=$

$\frac{9(c^2-2c+4)}{(c+2)(c^2-2c+4}=\frac{9}{c+2}$

$M=\frac{9}{c+2}$