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\(\frac{x+1}{9}+\frac{x+2}{8}=\frac{x+3}{7}+\frac{x+4}{6}\)
\(\Rightarrow\frac{x+1}{9}+1+\frac{x+2}{8}+1=\frac{x+3}{7}+1+\frac{x+4}{6}+1\)
\(\Rightarrow\frac{x+10}{9}+\frac{x+10}{8}=\frac{x+10}{7}+\frac{x+10}{6}\)
\(\Rightarrow\frac{x+10}{9}+\frac{x+10}{8}-\frac{x+10}{7}-\frac{x+10}{6}=0\)
\(\Rightarrow\left(x+10\right)\left(\frac{1}{9}+\frac{1}{8}-\frac{1}{7}-\frac{1}{6}\right)=0\)
\(\Rightarrow x+10=0\) vì \(\frac{1}{9}+\frac{1}{8}-\frac{1}{7}-\frac{1}{6}\ne0\)
\(\Rightarrow x=-10\)
a. \(\left(\frac{1}{3}x\right):\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)
\(\left(\frac{1}{3}x\right):\frac{2}{3}=\frac{35}{8}\)
\(\frac{1}{3}x=\frac{35}{8}.\frac{2}{3}=\frac{35}{12}\)
\(x=\frac{35}{12}.3=\frac{35}{4}\)
b) 4,5:0,3=2,25:(0,1.x)
\(\frac{45}{10}:\frac{10}{3}=\frac{225}{100}:\left(\frac{1}{10}x\right)\)
\(15=\frac{9}{4}:\left(\frac{1}{10}x\right)\)
\(\frac{9}{4}:\left(\frac{1}{10}x\right)=15\)
\(\frac{1}{10}x=\frac{9}{4}.\frac{1}{15}=\frac{3}{20}\)
\(x=\frac{3}{20}.10=\frac{3}{2}\)
c) 8:\(\left(\frac{1}{4}x\right)=2:0,02\)
8:\(\left(\frac{1}{4}x\right)\)=2:\(\frac{2}{100}\)
8:\(\left(\frac{1}{4}x\right)=2.\frac{100}{2}=100\)
\(\frac{1}{4}x=\frac{8}{100}\)
\(x=\frac{8}{100}.4=\frac{8}{25}\)
d)\(3:2\frac{1}{4}=\frac{3}{4}:\left(6x\right)\)
\(3.\frac{9}{4}=\frac{3}{4}:\left(6x\right)\)
\(\frac{3}{4}:\left(6x\right)=\frac{27}{4}\)
\(6x=\frac{3}{4}.\frac{4}{27}=\frac{1}{9}\)
\(x=\frac{1}{9}.\frac{1}{6}=\frac{1}{54}\)
1: (3x+2)(x+2)(2x-1)
=(3x^2+6x+2x+4)(2x-1)
=(3x^2+8x+4)(2x-1)
=6x^3-3x^2+16x^2-8x+8x-4
=6x^3+13x^2-4
2: (5x+1)(x-1)+3x(2x+2)
=5x^2-5x+x-1+6x^2+6x
=11x^2+10x-1
3: 4x(2x+1)(x-1)+(x+5)(x-3)
=4x(2x^2-2x+x-1)+x^2+2x-15
=8x^3-4x^2-4x+x^2+2x-15
=8x^3-3x^2-2x-15
4: (2x-1)(x+2)(x-2)+(3x-1)(x-1)
=(2x-1)(x^2-4)+3x^2-4x+1
=2x^3-8x-x^2+4+3x^2-4x+1
=2x^3+2x^2-12x+5
1)
2x.(x-2) - x.(2x+1) = 3
=> 2x2 - 4x - 2x2 - x = 3
=> (2x2 - 2x2 ) - (4x+x) = 3
=> -5x = 3
=> x = \(\dfrac{-3}{5}\)
2) (2x-1).(x-2) - (x+3).(2x-7) = 3
=> 2x2 - 4x - x + 2 - 2x2 + 7x - 6x + 21 = 3
=> (2x2 - 2x2) - (4x + 6x + x - 7x) + 2 + 21 = 3
=> -4x = -20
=> x = -20 : (-4)
=> x = 5
3) (x - 5).(-x + 4) - (x - 1).(x + 3) = -2x2
=> Bạn tách tương tự như mấy câu 2 nhé! Nếu không làm được thì bảo mình