a, 57-63+43-17
b,(-257-265)-(135-257)
c,|x-11|=7
d,(3x-12)(x+31)=0
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Bài 1 :
a) ( 257 x 139 - 257 x 39 ) : 100
= 257 x ( 139 - 39 ) : 100
= 257 x 100 : 100
= 257
a) ( 257 × 139 – 257 × 39 ) : 100
= [ 257 x ( 139 -39 ) ] : 100
= ( 257 x 100 ) :100
= 25700 :100
=257
b) 5 + 6 + 13 + 17 + .......+ 2017
= ( 5 + 2017 ) + ( 6 + 2016 ) + ( 7 + 2015 ) + ... + ( 1009 + 1013 ) + ( 1010 + 1012 ) + 1011
= 2022 + 2022 + 2022 + ... + 2022 + 2022 + 1011
= 2022 × 1006 + 1011
= 203514
c) 12 × 57 + 57 × 15 + 63 × 57
= 57 × ( 12 + 15 + 63 )
= 57 x 90
= 5130
Bạn ơi ghi đề sai nha ban phải là: 257 x 135 - 34 x 257 - 257 nha
257 x 135 - 34 x 257 - 257 x 1
= 257 x ( 135 - 34 -1 )
= 257 x 100
=25700
A. 234 x ( 1257 – 257 ) = 234 x 1257 - 234 x 257
B. 135 x 80 + 20 x 135 = 135 x ( 80 + 20 )
bài 2) a) \(2\left(x+1\right)=0\Leftrightarrow x+1=0\Leftrightarrow x=-1\) vậy \(x=-1\)
b) \(x\left(x-2\right)=0\Leftrightarrow\left\{{}\begin{matrix}x=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=2\end{matrix}\right.\) vậy \(x=0;x=2\)
c) \(\left(x-1\right)\left(x+7\right)=0\Leftrightarrow\left\{{}\begin{matrix}x-1=0\\x+7=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=1\\x=-7\end{matrix}\right.\) vậy \(x=1;x=-7\)
d) \(\left(x+2\right)\left(x^2-9\right)=0\Leftrightarrow\left\{{}\begin{matrix}x+2=0\\x^2-9=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=-2\\x^2=9\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=-2\\\left\{{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\end{matrix}\right.\) vậy \(x=-2;x=3;x=-3\)
e) \(x^2\left(x-5\right)+2\left(x-5\right)=0\Leftrightarrow\left(x^2+2\right)\left(x-5\right)=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}x^2+2=0\\x-5=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x\in\varnothing\\x=5\end{matrix}\right.\) vậy \(x=5\)
bài 1) \(A=48+\left(-48-174\right)+\left|-74\right|=48-48-174+74=-100\)
\(B=\left(-123\right)+77+\left(-257\right)-23-43=-123+77-257-23-43=-369\)
\(C=\left(-57\right)+\left(-159\right)+47+169=-57-159+47+169=0\)
quá hợp lí
\(\left|x-11\right|=7\)
\(\Leftrightarrow\orbr{\begin{cases}x-11=7\\x-11=-7\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=18\\x=4\end{cases}}\)
d,\(\left(3x-12\right)\left(x+31\right)=0\)
\(\Rightarrow\orbr{\begin{cases}3x-12=0\\x+31=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=4\\x=-31\end{cases}}\)