\(R=\frac{43^2-11^2}{36,5^2-27,5^2}\)

\(R=\frac{\left(43-11\right)\left(43+11\right)}{\left(36,5+27,5\right)\left(36,5-27,5\right)}\)

\(R=\frac{32.54}{64.9}\)

\(R=3\)

\(R=\frac{43^2-11^2}{\left(36,5\right)^2-\left(27,5\right)^2}\)

    \(=\frac{\left(43-11\right)\left(43+11\right)}{\left(36,5-27,5\right)\left(36,5+27,5\right)}\)

    \(=\frac{32.54}{9.64}\)

    \(=\frac{6}{2}=3\)

Bạn viết sai đề bài rồi

\(S=\frac{97^3+83^3}{180}-97.83\)

  \(=\frac{\left(97+83\right)\left(97^2-97.83+83^2\right)}{180}-97.83\)

   \(=97^2-97.83+83-97.83\)

    \(=\left(97-83\right)^2=14^2=196\)

Trả lời:

\(R=\frac{43^2-11^2}{36,5^2-27,5^2}\)

\(R=\frac{\left(43-11\right).\left(43+11\right)}{\left(36,5-27,5\right).\left(36,5+27,5\right)}\)

\(R=\frac{32.54}{9.64}\)

\(R=3\)

Đề bài sai bạn nhé 

\(S=\frac{97^3+83^3}{180}-97.83\)

\(S=\frac{\left(97+83\right).\left(97^2-97.23+83^2\right)}{180}-97.83\)

\(S=97^2-97.83+83^2-97.83\)

\(S=97^2-2.97.83+83^2\)

\(S=\left(97-83\right)^2\)

\(S=14^2\)

\(S=196\)

\(A=\dfrac{43^2-11^2}{\left(36,5\right)^2-\left(27,5\right)^2}\)

\(=\dfrac{\left(43-11\right)\left(43+11\right)}{\left(36,5-27,5\right)\left(36,5+27,5\right)}\)

\(=\dfrac{32.54}{9.64}=\dfrac{6}{2}=3\)

\(\frac{43^2-11^2}{\left(35,5\right)^2-\left(26,5\right)^2}\)

\(=\frac{\left(43-11\right)\left(43+11\right)}{\left(35,5-26,5\right)\left(25,5+26,5\right)}\)

\(=\frac{32.54}{9.62}=\frac{16.2.9.6}{9.2.31}=\frac{96}{31}\)

1

a,

=(202+54).(202-54)+256.352

=37888+256.352

=37888+90112

=128000

b,

=621-769.373-21904

=621-286837-21904

=-308120

c,

42^2-10^2/(36,5)^2-(27,5)^2

=(42-10).(42+10)/(36,5-27,5).(27,5+36,5)

=1664/576=2(8)

1. Tính nhanh :

a) \(202^2-54^2+256.352\)

\(=\left(202-54\right).\left(202+54\right)+256.352\)

\(=148.256+256.352\)

\(=256.\left(148+252\right)=256.400=102400\)