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A = 2582 - 2422/2542 - 2462
A = (258 - 242).(258 + 242)/(254 - 246).(254 + 246)
A = 16.500/8.500
A = 2
\(M=\frac{258^2-242^2}{254^2-246^2}\)
\(=\frac{\left(258-242\right)\left(258+242\right)}{\left(254-246\right)\left(254+246\right)}\)
\(=\frac{16.500}{8.500}\)
\(=2\)
p/s: chúc bạn hk tốt
a: \(A=\dfrac{\left(258-242\right)\left(258+242\right)}{\left(254-246\right)\left(254+246\right)}=\dfrac{16}{8}=2\)
b: \(=\left(263+37\right)^2=300^2=90000\)
c: \(=\left(136-46\right)^2=90^2=8100\)
d: \(=50^2-49^2+48^2-47^2+...+2^2-1^2\)
=50+49+...+2+1
=51x50:2=1275
\(\frac{258^2-242^2}{254^2-246^2}=\frac{\left(258+242\right)\left(258-242\right)}{\left(254+246\right)\left(254-246\right)}=\frac{500.16}{500.8}=2\)
\(263^2+74.263+37^2=263^2+2.37.263+37^2=\left(263+37\right)^2=300^2=90000\)
\(136^2-92.136+46^2=136^2-46.2.136+46^2=\left(136-46\right)^2=90^2=8100\)
\(=\left(50^2-49^2\right)+\left(48^2-47^2\right)+.....+\left(2^2-1^2\right)=\left(50+49\right)\left(50-49\right)+\left(48+47\right)\left(48-47\right)+....+\left(2+1\right)\left(2-1\right)=\left(50+49+....+1\right)=\frac{51.50}{2}=51.25=1275\)
Tính giá trị biểu thức sau:
a, A= \(258^2-\dfrac{242^2}{254^2}-246^2\approx\) 6047,1
b, B= \(263^2+74.263+37^2=90000\)
c, C= \(136^2-92.136+46^2=8100\)
d, D = \(\left(50^2+48^2+46^2+...+2^2\right)-\left(49^2+47^2+45^2+...+1^2\right)\)
= 22100 - 20825= 1275
\(\frac{63^2-47^2}{215^2-105^2}=\) \(\frac{\left(63-47\right)\left(63+47\right)}{\left(215-105\right)\left(215+105\right)}\)
\(=\frac{16.110}{110.320}=\frac{16}{320}\)\(=\frac{1}{20}\)
các câu kia làm tương tự nha
b: Sửa đề: \(B=263^2+54\cdot263+27^2\)
\(=263^2+2\cdot263\cdot27+27^2\)
\(=\left(263+27\right)^2=290^2=84100\)
c: \(C=136^2-2\cdot46\cdot136+46^2\)
\(=\left(136-46\right)^2=90^2=8100\)
d: \(D=\left(50^2-49^2\right)+\left(48^2-47^2\right)+...+\left(2^2-1^2\right)\)
\(=50+49+...+2+1\)
Số số hạng là (50-1):1+1=50(số)
Tổng là;
\(D=\dfrac{\left(50+1\right)\cdot50}{2}=51\cdot25=1225\)
\(C=\dfrac{258^2-242^2}{254^2-246^2}\)
\(C=\dfrac{\left(258+242\right)\left(258-242\right)}{\left(254+246\right)\left(254-246\right)}\)
\(C=\dfrac{500.16}{500.8}=2\)
Tik mik nha !!!