giúp em vs ạ, gấp gấp , giups mìh làm bài 4 thui ạ
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Bài 6:
\(A=3+\left(3^2+3^3\right)+\left(3^4+3^5\right)+...+\left(3^{2020}+3^{2021}\right)\\ A=3+3^2\left(1+3\right)+3^4\left(1+3\right)+...+3^{2021}\left(1+3\right)\\ A=3+4\left(3^2+3^4+...+3^{2021}\right)⋮̸4\left(3⋮̸4\right)\)
Bài 5:
a. \(\sqrt{x^2+2x+1}=\sqrt{9x^2}\)
<=> \(\sqrt{\left(x+1\right)^2}=\sqrt{\left(3x\right)^2}\)
<=> \(\left|x+1\right|=\left|3x\right|\)
<=> \(\left[{}\begin{matrix}x+1=3x\\x+1=-3x\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=0,5\\x=-0,25\end{matrix}\right.\)
b. \(\sqrt{x^2-\dfrac{2}{5}x+\dfrac{1}{25}}=\sqrt{\left(2x+1\right)^2}\)
<=> \(\sqrt{\left(x-\dfrac{1}{5}\right)^2}=\sqrt{\left(2x+1\right)^2}\)
<=> \(\left|x-\dfrac{1}{5}\right|=\left|2x+1\right|\)
<=> \(\left[{}\begin{matrix}x-\dfrac{1}{5}=2x+1\\x-\dfrac{1}{5}=-2x-1\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=-1,2\\x=-\dfrac{4}{15}\end{matrix}\right.\)
c. \(\sqrt{25x^2}=\sqrt{x^4}\)
<=> \(\sqrt{\left(5x\right)^2}=\sqrt{\left(x^2\right)^2}\)
<=> \(\left|5x\right|=\left|x^2\right|\)
<=> \(\left[{}\begin{matrix}5x=x^2\\5x=-x^2\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}5x-x^2=0\\5x+x^2=0\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x\left(5-x\right)=0\\x\left(5+x\right)=0\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}\left[{}\begin{matrix}x=0\\5-x=0\end{matrix}\right.\\\left[{}\begin{matrix}x=0\\5+x=0\end{matrix}\right.\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}\left[{}\begin{matrix}x=0\\x=5\end{matrix}\right.\\\left[{}\begin{matrix}x=0\\x=-5\end{matrix}\right.\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=0\\x=5\\x=-5\end{matrix}\right.\)
Bài 3:
a. $[25+(-15)]+(-25)=25-15-25=(25-25)-15=0-15=-15$
b. $512-(-88)-400-112$
$=512+88-400-112$
$=(512-112-400)+88=(400-400)+88=88$
c.
$-(310)+(-290)-907+107=-310-290-907+107$
$=-(310+290)-(907-107)=-600-600=-1200$
d.
$-2004-1975+2000-2025$
$=-(2004-2000)-(1975+2025)=-4-4000=-(4+4000)=-4004$
Bài 1:
a. $ax+ay+bx+by=(ax+ay)+(bx+by)=a(x+y)+b(x+y)$
$=(x+y)(a+b)=17(-2)=-34$
b. $ax-ay+bx-by = (ax-ay)+(bx-by)$
$=a(x-y)+b(x-y)=(x-y)(a+b)=(-1)(-7)=7$
Câu 2:
1: \(\Leftrightarrow x\cdot\dfrac{7}{2}=\dfrac{9}{2}+3=\dfrac{15}{2}\)
hay x=15/7
2: \(\Leftrightarrow x=\dfrac{5}{2}\cdot\dfrac{8}{5}=4\)
3: \(\Leftrightarrow x=\dfrac{-11\cdot10}{5}=-11\cdot2=-22\)
4: =>2x=90
hay x=45
1. been
2. for
3. was
4. was
5. had
6. would
7. used
8. got
9. been
10. being/swimming
11. never
12. use