Question

срочнооооо пжжжжжжжж​

Answer 1

Ответ:

Сократи дроби:

$1)\ \dfrac{14a^5b}{49a^3b^2} = \dfrac{2a^2}{7b}.\\\\2)\ \dfrac{3a-3b}{b^2-a^2}=\dfrac{3(a-b)}{(b-a)(b+a)}=-\dfrac{3(b-a)}{(b-a)(b+a)}=-\dfrac{3}{b+a}.\\\\3)\ \dfrac{3+x}{x^2+6x+9}=\dfrac{x+3}{(x+3)^2} = \dfrac{1}{x+3}.$

Упрости выражения:

$1)\ \dfrac{2x-2y}{y}*\dfrac{3y^2}{x^2-y^2}=\dfrac{2(x-y)}{1}*\dfrac{3y}{(x-y)(x+y)}=\dfrac{2}{1}*\dfrac{3y}{x+y}=\dfrac{6y}{x+y}.\\\\2)\ \dfrac{a+x}{a}:\dfrac{ax+x^2}{a^2}=\dfrac{a+x}{a}*\dfrac{a^2}{x(a+x)}=\dfrac{1}{1}*\dfrac{a}{x}=\dfrac{a}{x}.\\\\3)\ \dfrac{1^{/x+2}}{x-2}+\dfrac{1^{/x-2}}{x+2} = \dfrac{(x+2)+(x-2)}{(x-2)(x+2)}=\dfrac{2x}{x^2-4}.$

$4)\ \dfrac{5a^2}{a-1}-5a^{/a-1} =\dfrac{5a^2-5a(a-1)}{a-1}=\dfrac{5a^2-5a^2+5a}{a-1}=\dfrac{5a}{a-1}.$