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\(\dfrac{2}{67}-\left(\dfrac{3}{7}+\dfrac{2}{67}\right)\\ =\dfrac{2}{67}-\dfrac{215}{469}\\ =\dfrac{-3}{7}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{3}{5}.\left(\frac{5}{3}-\frac{2}{7}\right)-\left(\frac{7}{3}-\frac{3}{7}\right).\frac{3}{5}\)
\(=\frac{3}{5}.\text{[}\left(\frac{5}{3}-\frac{2}{7}\right)-\left(\frac{7}{3}-\frac{3}{7}\right)\text{]}\)
\(=\frac{3}{5}.\text{[}\frac{5}{3}-\frac{2}{7}-\frac{7}{3}+\frac{3}{7}\text{]}\)
\(=\frac{3}{5}.\text{[}\left(\frac{5}{3}-\frac{7}{3}\right)-\left(\frac{2}{7}-\frac{3}{7}\right)\text{]}\)
\(=\frac{3}{5}.\text{[}\frac{-2}{3}-\frac{-1}{7}\text{]}\)
\(=\frac{3}{5}.\left(\frac{-2}{3}+\frac{1}{7}\right)\)
\(=\frac{3}{5}.\left(\frac{-14}{21}+\frac{3}{21}\right)\)
\(=\frac{3}{5}.\frac{-11}{21}\)
\(=\frac{3.\left(-11\right)}{5.21}\)
\(=\frac{-11}{5.7}=\frac{-11}{35}\)
Chúc bạn học tốt
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Một cách thôi nha 2 cách lòi ruột đấy :
\(A=\left(5x+3\right)^3\)
\(=\left(5x\right)^3+3.\left(5x\right)^2.3+3.5x.9+3^3\)
\(=125x^3+225x^2+135x+27\)
\(B=\left(8x-5\right)^3\)
\(=\left(8x\right)^3-3.\left(8x\right)^2.5+3.8x.5^2-5^3\)
\(=512x^3-960x^2+600x-125\)
\(C=\left(5x-1\right)\left(25x^2-5x+1\right)\)
Sai rồi nha bạn phải là : \(\left(5x-1\right)\left(25x^2+5x+1\right)\)
\(=\left(5x\right)^3-1^3\)
\(=125x^3-1\)
\(D=\left(x+3\right)\left(x^2-3x+1\right)\)
\(=x^3+3^3\)
\(=x^3+27\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(1.\)
\(\left|-0,75\right|+\frac{1}{4}-2\frac{1}{2}\)
\(=0,75+\frac{1}{4}-\frac{5}{2}\)
\(=\frac{3}{4}+\frac{1}{4}-\frac{10}{4}\)
\(=\frac{4}{4}-\frac{10}{4}\)
\(=\frac{-6}{4}=\frac{-3}{2}\)
\(2.\)
\(a,3\frac{1}{2}-\frac{1}{2}x=\frac{2}{3}\)
\(\frac{7}{2}-\frac{1}{2}x=\frac{2}{3}\)
\(\frac{1}{2}x=\frac{7}{2}-\frac{2}{3}\)
\(\frac{1}{2}x=\frac{17}{6}\)
\(x=\frac{17}{6}:\frac{1}{2}\)
\(x=\frac{17}{3}\)
Vậy x = \(\frac{17}{3}\)
\(b,3,2x+\left(-1,2\right)x+2,7\)\(=-4,9\)
\(x\cdot\left[3,2++\left(-1,2\right)\right]+2,7=-4,9\)
\(x\cdot2+2,7=-4,9\)
\(x\cdot2=-4,9-2,7\)
\(x\cdot2=-7,6\)
\(x=-7,6:2\)
\(x=-3,8\)
Vậy x=-3,8
\(3.\)
\(Có:y=f\left(x\right)\)\(=2x+\frac{1}{2}\)
\(\Rightarrow f\left(0\right)=2\cdot0+\frac{1}{2}\)\(=0+\frac{1}{2}=\frac{1}{2}\)
\(\Rightarrow f\left(1\right)=2\cdot1+\frac{1}{2}=2+\frac{1}{2}=\frac{4}{2}+\frac{1}{2}=\frac{5}{2}\)
\(\Rightarrow f\left(\frac{1}{2}\right)=2\cdot\frac{1}{2}+\frac{1}{2}\)\(=\frac{2}{2}+\frac{1}{2}=\frac{3}{2}\)
\(\Rightarrow f\left(-2\right)=2\cdot\left(-2\right)+\frac{1}{2}=-4+\frac{1}{2}=\frac{-8}{2}+\frac{1}{2}=\frac{-7}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Đề trước đó:
(x-7)(x+1)-(x-3)^2=(3x-5)(3x+5)-(3x+1)^2+(x-2)^2-x
<=>x^2+x-7x-7-x^2+6x-9=9x^2-25-9x^2-6x-1+x^2-4x+4-x
<=>x^2-11x-6=0
<=>x^2-2x. 11/2 + 121/4-145/4=0
<=>(x-11/2)^2=145/4
<=>|x-11/2|=căn(145)/2
<=>x=[11+-căn(145)]/2
xn-2( x3 + x2 - 5 )
= xn+1 + xn - 5xn-2