\(B=\frac{780^2-220^2}{125^2+150.125+75^2}\)\(=\frac{\left(780+220\right).\left(780-220\right)}{\left(125+75\right)^2}\)\(=\frac{1000.560}{200^2}\)\(=\frac{560000}{40000}=14\)

\(A=\left(100^2-99^2\right)+\left(98^2-97^2\right)+...+\left(2^2-1^2\right)\)

\(=\left(100-99\right)\left(100+99\right)+\left(98-97\right)\left(98+97\right)+...+\left(2-1\right)\left(2+1\right)\)

\(=100+99+98+97+...+2+1\)

\(=\left(100+1\right).\frac{100-1}{2}=\frac{101.99}{2}=\frac{9999}{2}\)

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

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

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

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

Ta có ( 10 a   –   5 ) 2   =   100 a 2  – 2.10a.5 + 25 = 100a(a – 1) + 25.

Nên 45 2  = 100.5.4 + 25 = 2025.

Tương tự:  15 2  = 225;  75 2  = 5625;  95 2  = 9025.

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46568,744

nhé ,tick mình nha phạm huyền diệu!!!!!!!!!!!!!!!!!

 752x89-752x9+752x20

=752x(89-9+20)

=752x100

=75200

752 x 89 - 752 x 9 + 752 x 20

= 752 x ( 89 - 9 + 20 )

= 752 x ( 80 + 20 )

= 752 x 100

= 75200

752x89-752x9+752x20

=752x(89-9+20)

=752x100

=75200