Question

выполните действие: (m-1/2)^2;
2)(а-1/5)^2
3)(х/2-y/3)^2
4)(a/4-b/3)^2
5)(2 1/3 a+ 1 1/2b)^2

Answer 1

1) 
$displaystyle (m- frac{1}{2})^2=m^2-2* frac{1}{2}m+( frac{1}{2})^2=m^2-m+ frac{1}{4}$

2) 
$displaystyle (a- frac{1}{5})^2=a^2-2* frac{1}{5}a+( frac{1}{5})^2=a^2- frac{2}{5}a+ frac{1}{25}=a^2-0.4a+ 0.04$

3) 
$displaystyle ( frac{x}{2}- frac{y}{3})^2=( frac{x}{2})^2-2* frac{x}{2}* frac{y}{3}+( frac{y}{3})^2= frac{x^2}{4}- frac{xy}{3}+ frac{y^2}{9}$

4) 
$displaystyle ( frac{a}{4}- frac{b}{3})^2= frac{a^2}{16}-2* frac{a}{4}* frac{b}{3}+ frac{b^2}{9}= frac{a^2}{16}- frac{ab}{6}+ frac{b^2}{9}$

5)
$displaystyle (2 frac{1}{3}a+1 frac{1}{2}b)^2=( frac{7}{3}a+ frac{3}{2}b)^2= frac{49}{9} a^2+2* frac{7}{3}a* frac{3}{2}b+ frac{9}{4}b^2=\= 5 frac{4}{9}a^2+ 7ab+2 frac{1}{4}b^2$