Tính nhanh giá trị của biểu thức sau:
4 + 4 + 4 + 4 + 4 + ........+ 4 - 44 =
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\(\dfrac{1}{3}\cdot\dfrac{1}{4}+\dfrac{7}{4}:3-\dfrac{2}{3}\)
\(=\dfrac{1}{12}+\dfrac{7}{12}-\dfrac{8}{12}\)
\(=\dfrac{0}{12}=0\)
`4/9xx13/3-4/3xx40/9`
`=4/9xx13/3-4/9xx40/3`
`=4/9xx(13/3-40/3)`
`=4/9xx(-9)`
`=-4`
Free time - Answer #5:
`B=4/9 . 13/3 - 4/3 . 40/9`
`B = 4/9 (13/3 - 40/9)`
`B = 4/9 (39/9 - 40/9)`
`B = 4/9 . (-1/9)`
`B = -4/81`
\(\text{ (215 x 4 - 76 x 5): 4}\) \(=\left(860-380\right):4=480:4=120.\)
\(\frac{\frac{3}{5}+\frac{3}{7}-\frac{3}{11}}{\frac{4}{5}+\frac{4}{7}-\frac{4}{11}}=\frac{3\left(\frac{1}{5}+\frac{1}{7}-\frac{1}{11}\right)}{4\left(\frac{1}{5}+\frac{1}{7}-\frac{1}{11}\right)}\)\(=\frac{3}{4}\)
\(M=\frac{\frac{3}{5}+\frac{3}{7}-\frac{3}{11}}{\frac{4}{5}+\frac{4}{7}-\frac{4}{11}}\)
\(M=\frac{3.\left(\frac{1}{5}+\frac{1}{7}-\frac{1}{11}\right)}{4.\left(\frac{1}{5}+\frac{1}{7}-\frac{1}{11}\right)}\)
\(M=\frac{3}{4}\)
F=2\ 2/2.4+2/4.6+2/6.8+.....+2/2008.2010 \
=2 \ 1/2-1/4+1/4-1/6+1/6-1/8+.....+1/2008-1/2010 \
=2 \ 1/2-1/2010 \ =2 \ 502/1005 \ =1004/1005
chú ý : \ là ngoặc
Ta có : \(A=4+4^2+4^3+.....+4^{15}\)
\(\Rightarrow4A=4^2+4^3+4^4+.....+4^{16}\)
\(\Rightarrow4A-A=4^{16}-4\)
\(\Rightarrow3A=4^{16}-4\)
\(\Rightarrow A=\frac{4^{16}-4}{3}\)
\(4\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\)
\(=\dfrac{1}{2}\left(3^2-1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\)
\(=\dfrac{1}{2}\left(3^4-1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\)
\(=\dfrac{1}{2}\left(3^8-1\right)\left(3^8+1\right)\left(3^{16}+1\right)\)
\(=\dfrac{1}{2}\left(3^{16}-1\right)\cdot\left(3^{16}+1\right)\)
\(=\dfrac{1}{2}\left(3^{32}-1\right)\)
có 111 số 4 đúng ko