a/b = c/d CMR a/b = a-c/b-d
lm nhanh nhen mik cần gắp
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a, (a+b+c)-(a-b+c)
= a+b+c-a+b-c
= 2b
b, (a+b+c)+(a-b)-(a-b-c)
=a+b+c+a-b-a+b+c
=a+b+2c
a/ \(\left(a+b+c\right)-\left(a-b+c\right)\)
\(=a+b+c-a+b-c\)
\(=\left(a-a\right)+\left(b+b\right)+\left(c-c\right)\)
\(=0+0+2b\)
\(=2b\)
b/ \(\left(a+b-c\right)+\left(a-b\right)-\left(a-b-c\right)\)
\(=a+b-c+a-b-a+b+c\)
\(=\left(a+a-a\right)+\left(b-b+b\right)+\left(-c+c\right)\)
\(=a+b\)
a)50mA= ....0,05.......A
b)27mV=............mA (?)
c)500kV=...500 000........V
d)5,1A=....5100.......mA
Bài 1 :
\(a,\left(a-b\right)+\left(c-d\right)-\left(a-c\right)=-\left(b+d\right)\)
Ta có : \(VT=\left(a-b\right)+\left(c-d\right)-\left(a-c\right)\)
\(=a-b+c-d-a+c\)
\(=-\left(b+d\right)=VP\)
\(\Rightarrow\left(a-b\right)+\left(c-d\right)-\left(a-c\right)=-\left(b+d\right)\)
\(b,\left(a-b\right)-\left(c-d\right)+\left(b+c\right)=a+d\)
Ta có : \(VT=\left(a-b\right)-\left(c-d\right)+\left(b+c\right)\)
\(=a-b-c+d+b+c\)
\(=a+d=VP\)
\(\Rightarrow\left(a-b\right)-\left(c-d\right)+\left(b+c\right)=a+d\)
1) \(\left(a+b\right)-\left(-a+b-c\right)+\left(c-a-b\right)\)
\(=a+b+a-b+c+c-a-b\)
\(=a-b+2c \left(đpcm\right)\)
2) \(a\left(b-c\right)-a\left(b+d\right)\)
\(=ab-ac-ab-ad\)
\(=-ac-ad\)
\(=-a\left(c+d\right) \left(đpcm\right)\)
a) Sửa đề CMR : \(\left(\frac{a+b+c}{b+c+d}\right)^3=\frac{a}{d}\)
\(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}=\frac{a+b+c}{b+c+d}\)
=> \(\left(\frac{a}{b}\right)^3=\left(\frac{b}{c}\right)^3=\left(\frac{c}{d}\right)^3=\left(\frac{a+b+c}{b+c+d}\right)^3\)
=> \(\left(\frac{a}{b}\right)^3=\left(\frac{a+b+c}{b+c+d}\right)^3\)
=> \(\frac{a}{b}.\frac{a}{b}.\frac{a}{b}=\left(\frac{a+b+c}{b+c+d}\right)^3\)
=> \(\frac{a}{b}.\frac{b}{c}.\frac{c}{d}=\left(\frac{a+b+c}{b+c+d}\right)^3\left(\text{vì }\frac{a}{b}=\frac{b}{c}=\frac{c}{d}\right)\)
=> \(\frac{a}{d}=\left(\frac{a+b+c}{b+c+d}\right)^3\left(\text{đpcm}\right)\)
b) |17x - 5| - |17x + 5| = 0
=> |17x - 5| = |17x + 5|
=> \(\orbr{\begin{cases}17x-5=17x+5\\17x-5=-17x-5\end{cases}}\Rightarrow\orbr{\begin{cases}0x=10\\34x=0\end{cases}}\Rightarrow\orbr{\begin{cases}x\in\varnothing\\x=0\end{cases}}\Rightarrow x=0\)
Vậy x = 0 là giá trị cần tìm