3+3x6
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3/3x6 + 3/6x9 + 3/9x12 + 3/12x15 + 3/15x18
= 1/3 - 1/6 + 1/6 - 1/9 + ... + 1/15 - 1/18
= 1/3 - 1/18
= 5/18
\(\frac{3}{3\times6}+\frac{3}{6\times9}+\frac{3}{9\times12}+\frac{3}{12\times15}+\frac{3}{15\times18}\)
=\(3\times\left(\frac{1}{3\times6}+\frac{1}{6\times9}+\frac{1}{9\times12}+\frac{1}{12\times15}+\frac{1}{15\times18}\right)\)
=\(3\times\left(\frac{1}{3}\times\frac{1}{6}+\frac{1}{6}\times\frac{1}{9}+\frac{1}{9}\times\frac{1}{12}+\frac{1}{12}\times\frac{1}{15}+\frac{1}{15}\times\frac{1}{18}\right)\)
=\(3\times\left(\frac{1}{3}\times\frac{1}{18}\right)\)
=\(3\times\frac{1}{54}=\frac{3}{54}=\frac{1}{18}\)
\(3x^6-4x^5+2x^4-8x^3+2x^2-4x+3\)
\(=3x^6+3x^4-4x^5-4x^3-x^4-x^2-4x^3-4x+3x^2+3\)
\(=\left(x^2+1\right)\left(3x^4-4x^3-x^2-4x+3\right)\)
\(=\left(x^2+1\right)\left(x^2+x+1\right)\left(3x^2-7x+3\right)\)
Chọn C
6 x 9 - 2 x 6 + 8 x 3 : 2 x 3
= 6 x 9 : 2 x 3 + - 2 x 6 : 2 x 3 + 8 x 3 : 2 x 3
= 3 x 6 - x 3 + 4
\(\frac{2}{1.3}+\frac{3}{3.6}+\frac{4}{6.10}+\frac{5}{10.15}+\frac{6}{15.21}\)
= \(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{6}+\frac{1}{6}-\frac{1}{10}+\frac{1}{10}-\frac{1}{15}+\frac{1}{15}-\frac{1}{21}\)
= \(1-\frac{1}{21}\)
= \(\frac{20}{21}\)
Ủng hộ mk nha !!! ^_^
21