\(R=\frac{43^2-11^2}{36,5^2-27,5^2}\)
\(R=\frac{\left(43-11\right)\left(43+11\right)}{\left(36,5+27,5\right)\left(36,5-27,5\right)}\)
\(R=\frac{32.54}{64.9}\)
\(R=3\)
Tính nhanh :
\(R=\frac{43^2-11^2}{\left(36,5^2\right)-\left(27,5^2\right)}\)
\(S=\frac{97^2+83^3-97.83}{180}\)
Tính nhanh
A= \(\frac{43^2-11^2}{\left(36,5\right)^2-\left(27,5\right)^2}\)
. Bài 1:Tính nhanh
a) \(35^2 - 25^2\)
b) \(77^2 + 73^2 - 27^2 - 23^2\)
c) \(\frac{43^{2-11^2}}{36,5^2-27,5^2}\)
. Bài 2: CMR \(\forall n\in Z\)
a) \(n^2\left(n+1\right)+2n\left(n+1\right)⋮6\)
b) \(\left(n^3-n\right)⋮6\)
c) \(\left(n^3-19n\right)⋮6\)
1.Tính nhanh:
a. 2022 - 542 + 256.352 b. 621 - 769.373 - 1482
c. \(\frac{42^2-10^2}{\left(36,5\right)^2-\left(27,5\right)^2}\) d. S = \(\frac{93^2+83^2}{180}\) - 97.83
2.Tìm 4 số nguyên liên tiếp biết tích của chúng bằng 120
\(\frac{43^2-11^2}{\left(35,5\right)^2-\left(26,5\right)^2}\)
Tính giá trị biểu thức ?
Chứng minh: \(\frac{2}{x^2-1}+\frac{4}{x^2-4}+...+\frac{20}{x^2-100}=\frac{11}{\left(x-10\right)\left(x+1\right)}+\frac{11}{\left(x-9\right)\left(x+2\right)}+...+\frac{11}{\left(x-1\right)\left(x+10\right)}\)
Tính nhanh :
\(\left(1-\frac{1}{2^2}\right)\left(1-\frac{1}{3^2}\right)\left(1-\frac{1}{4^2}\right)...\left(1-\frac{1}{100^2}\right)\)
Giúp mình với !
Tính nhanh tổng sau:
\(\frac{1}{x\left(x+1\right)}+\frac{1}{\left(x+1\right)\left(x+2\right)}+\frac{1}{\left(x+2\right)\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+4\right)}+\frac{1}{\left(x+4\right)\left(x+5\right)}+\frac{1}{\left(x+5\right)\left(x+6\right)}=\)
tính nhanh tổng sau
\(\frac{1}{x\left(x+1\right)}+\frac{1}{\left(x+2\right)\left(x+2\right)}+\frac{1}{\left(x+2\right)\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+4\right)}\)
\(+\frac{1}{\left(x+4\right)\left(x+5\right)}+\frac{1}{\left(x+5\right)\left(x+6\right)}\)
