a) 1012 = (100 + 1)2 = 1002 + 2.100 + 1 = 10000 + 200 + 1 = 10201

b) 1992 = (200 – 1)2 = 2002 – 2.200 + 1 = 40000 – 400 + 1 = 39601

c) 47.53 = (50 – 3)(50 + 3) = 502 – 32 = 2500 – 9 = 2491.

B lớn hơn A

\(a,101^2=101.\left(100+1\right)=10100+101=10201.\\ b,75^2-50.75+25^2\\ =75.\left(75-50\right)+25^2\\ =75.25+25^2\\ =25.\left(75+25\right)\\ =25.100\\ =2500.\)

\(c,103.97\\ =\left(100+3\right).97\\ =9700+291\\ =9991\)

a) \(101^2=101.101=10201\)

b) \(75^2-50.75+25^2\)

\(=75^2-2.25.75+25^2\)

\(=\left(75-25\right)^2=50^2=2500\)

c) \(103.97=\left(100+3\right).\left(100-3\right)\)

\(=100^2-3^2=9991\)

\(101^2=\left(100+1\right)^2=10000+200+1=10201\)

\(1001^2=\left(1000+1\right)^2=1000000+2000+1=1002001\)

\(102^2=\left(100+2\right)^2=10000+400+4=10404\)

\(99^2=\left(100-1\right)^2=10000-200+1=9801\)

\(19^2=\left(10+9\right)^2=100+180+81=361\)

\(999^2=\left(1000-1\right)^2=1000000-2000+1=998001\)

Ta có : 

\(A=\frac{2012.14+1997+2010.2011}{2011.5+2011.1008+1012.2011}\)

\(\Rightarrow A=\frac{\left(2011+1\right).14+1997+2010.2011}{2011.\left(5+1008+1012\right)}\)

\(\Rightarrow A=\frac{2011.14+14+1997+2010.2011}{2011.2025}\)

\(\Rightarrow A=\frac{2011.14+2011+2010.2011}{2011.2025}\)

\(\Rightarrow A=\frac{2011.\left(14+1+2011\right)}{2011.2025}\)

\(\Rightarrow A=\frac{2011.25}{2011.25}\)

\(\Rightarrow A=1\) ( tử số = mẫu số ) 

Vậy \(A=1\)

~ Ủng hộ nhé 

_Vào phần câu hỏi tương tự là có nhé bạn 

\(A=\frac{2012\times14+1997+2010\times2011}{2011\times5+2011\times1008+1012\times2011}\)

\(A=\frac{\left(2011+1\right)\times14+1997+2010\times2011}{2011\times\left(5+1008+1012\right)}\)

\(A=\frac{2011\times14+\left(14+1997\right)+2010\times2011}{2011\times2025}\)

\(A=\frac{2011\times14+2011+2010\times2011}{2011\times2025}\)

\(A=\frac{2011\times\left(14+1+2010\right)}{2011\times2025}\)

\(A=\frac{2011\times2025}{2011\times2025}\)

\(A=1\)

có lộn đề ko bn ơi 

c).223333333372

mik k biết nữa

a) = 117 x 100 - 17 x 100

= ( 117 - 17 ) x 100

= 100 x 100

= 10000

b) ( 532 x 7 - 266 x 14 ) x ( 532 x 7 + 266 )

=  532 x 7 - 266 x ( 2 x 7 ) x 3990

= 532 x 7 - 266 x 2 x 7 x 3990

= (532 x 7 - 532 x 7) x 3990

= 0 x 3990

= 0

c) 506 x 5 + 1012 + 253 x 6

= 506 x 5 + (506 x 2) + 253 x ( 2 x 3 )

= 506 x 5 + 506 x 2 + 253 x 2 x 3

= 506 x 5 + 506 x 2 + 506 x 3

= 506 x ( 5 + 2 + 3 )

= 506 x 10

= 5060

đúng rồi cho thôi

a ) 117 x ( 36 + 62 ) - 17 x ( 62 + 36 )

   = ( 117 - 17 ) x 98

   = 100 x 98

   = 9800

10 12   -   3 4   =   5 6   -   3 4   =   20 24   -   18 24   =   2 24   =   1 12