lên goole là biết ngay

bó tay

Xét hiệu A-B. Sau khi quy đồng ta được.

\(A-B=\frac{2013^{2015}-2013^{2014}-\left(2013^{2016}-2013^{2013}\right)}{\left(2013^{2016}-1\right)\left(2013^{2014}+1\right)}=\frac{2013^{2015}-2013^{2016}+2013^{2013}-2013^{2014}}{\left(2013^{2016}-1\right)\left(2013^{2014}+1\right)}< 0\)

Nên A<B.

= nhau

bn so sánh đơn giản nhât 

vd; 12/24 =0,5

1212/2424 = 0,5

so sánh \(\frac{-41}{47}và\frac{-41414141}{4747474747}\)

ta có: \(\frac{-41}{47}=\frac{-41}{47}\)

\(\frac{-41414141}{47474747}=\frac{-41414141:1010101}{47474747:1010101}\) = \(\frac{-41}{47}\)

vì \(\frac{-41}{47}=\frac{-41}{47}\) => \(\frac{-41}{47}=\frac{-41414141}{47474747}\)

chả bít nữa!! 464575676867896958790

Xét hiệu:

\(H=\frac{a}{b}-\frac{a+1}{b+1}=\frac{a\left(b+1\right)-b\left(a+1\right)}{b\left(b+1\right)}=\frac{a-b}{b\left(b+1\right)}.\)

Vì b>0 => b+1>0. Do đó:

• Nếu a>b thì H>0 hay: \(\frac{a}{b}>\frac{a+1}{b+1}\)
• Nếu a<b thì H<0 hay: \(\frac{a}{b}< \frac{a+1}{b+1}\)
• Nếu a=b thì H=0 hay: \(\frac{a}{b}=\frac{a+1}{b+1}\)

\(x^2=\frac{144}{25}=\left(\frac{12}{5}\right)^2\Leftrightarrow\orbr{\begin{cases}x=\frac{12}{5}\\x=-\frac{12}{5}\end{cases}}\)

\(\frac{x}{y}=\frac{17}{13}\Rightarrow\frac{x}{17}=\frac{y}{13}=\frac{x+y}{30}=-\frac{60}{30}=-2\)

\(x=17\cdot\left(-2\right)=-34\)

\(y=13\cdot\left(-2\right)=-26\)