Bài 1: thực hiện phép tính sau bằng cách hợp lí nhất
a,341.67+341.16+659.83
b, 42.53+47.156-47.114
Bài 2: tìm x thuộc N
a,\(x^{10}=1^x\)
b,\(x^{10}=x\)
c,\(\left[2x-15\right]^5=\left[2x-15\right]^3\)
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a, ( 38 + 62 ) + ( 41 + 159 ) + 117
= 100 + 200 + 117
= 417
b, ( 968 + 3032 ) + ( 86 + 914 ) + 73
= 4000 + 1000 + 73
= 5073
c, 341 x ( 67+ 16 ) + 659 x 83
= 341 x 83 + 659 X 83
= 83 x ( 341 + 659 )
= 83 x 1000
= 83000
d, 42 x 53 + 47 x ( 156 - 114 )
= 42 x 53 + 47 x 42
= 42 x ( 53 + 47 )
= 42 x 100
4200
=5073
B) 42.53+47.156-47.114
=42.53+47(156-114)
=42.53+47.42
=42(53+47)
=42.100
=4200
341.67+341.6+659.83
=341.(67+6)+659.83
=341.83+659.83
=(341+659).83
=1000.83
=83000.
42.53+47.156-47.114
=42.53+47.(156-114)
=42.53+47.42
=42.(53+47)
=42.100.
NẾU ĐÚNG THÌ K OK OK OK OK
=4200
\(a,38+41+117+159+62\\ =\left(38+62\right)+\left(41+159\right)+117\\ =100+200+117\\ =300+117\\ =417.\\ b,73+86+914+3032\\ =73+1000+3032\\ =1073+3032\\ =5150.\\ c,314.67+314.16+659.83\\ =314.\left(67+16\right)+659.83\\ =314.83+659.83\\ =83.\left(314+659\right)\\ =83.937\\ =?\)
Bn xem lại phần \(c,\) .
\(d,42.53+47.156-47.114\\ =42.53+47.\left(156-114\right)\\ =42.53+47.42\\ =42.\left(53+47\right)\\ =42.100\\ =4200.\)
a) \(38+41+117+159+62=(38+62)+(41+159)+117 \)
\(=100+200+117 =300+117 =417\)
b) \(73+86+968+914+3032=(86+914)+(968+3032)+73\)
\(=1000+4000+73=5073\)
c) \(341.67+341.16+659.83 =341.(67+16)+659.83 =341.83+659.83\)
\(=83.(341+659) =83.1000=83000\)
d) \(42.53+47.156-47.114 =42.53+47(156-114) =42.53+47.42 =42.(53+47)=42.100=4200\)
a: =2x^5-15x^3-x^2-2x^5-x^3=-16x^3-x^2
b: =x^3+3x^2-2x-3x^2-9x+6
=x^3-11x+6
c: \(=\dfrac{4x^3+2x^2-6x^2-3x-2x-1+5}{2x+1}\)
\(=2x^2-3x-1+\dfrac{5}{2x+1}\)
a) \(6x^3\left(\dfrac{1}{3}x^2-\dfrac{5}{2}-\dfrac{1}{6}\right)-2x^5-x^3\)
\(=6x^3\left(\dfrac{1}{3}x^2-\dfrac{16}{6}\right)-2x^5-x^3\)
\(=2x^5-16x^3-2x^5-x^3\)
\(=-17x^3\)
b) \(\left(x+3\right)\left(x^2+3x-2\right)\)
\(=x^3+3x^2-2x+3x^2+9x-6\)
\(=x^3+6x^2+7x-6\)
c) \(\left(4x^3-4x^2-5x+4\right):\left(2x+1\right)\)
\(=2x^2+4x^3-2x-4x^2-\dfrac{5}{2}-5x+\dfrac{2}{x}+4\)
\(=4x^3-2x^2-7x+\dfrac{2}{x}+\dfrac{3}{2}\)
1.(2515.415)/(517.2016)=(530.230)/(517.516.232)=1/(53.22)=1/500
2.a,-x/2=8/-x=>-x.(-x)=2*8 =>x^2=16=(-4)^2=4^2
=>x=4 hoặc x=-4
b,(3/4)2x/(2/5)10=(15/8)10
(3/4)2x=(2/5*15/8)10
(3/4)2x=(3/4)10
2x=10
x=5
1) \(\frac{25^{15}\cdot4^{15}}{5^{17}\cdot20^{16}}\)
\(=\frac{5^{30}\cdot2^{30}}{5^{33}\cdot2^{32}}\)
\(=\frac{1}{5^3\cdot2^2}\)
\(=\frac{1}{500}\)
2)
a) \(\frac{-x}{2}=\frac{8}{-x}\)
\(\Rightarrow\left(-x\right)\left(-x\right)=8\cdot2\)
\(\Rightarrow x^2=16\)
\(\Rightarrow x=\left\{\pm4\right\}\)
a: \(=\dfrac{x^3-1}{x+2}\cdot\dfrac{x^2+x+1-x^2+1}{\left(x-1\right)\left(x^2+x+1\right)}\)
\(=\dfrac{x+2}{x+2}=1\)
b: \(=\dfrac{\left(x+2\right)\left(x-1\right)\left(x+1\right)}{2\left(x+5\right)}\cdot\left(\dfrac{x+1-2x+2}{\left(x-1\right)\left(x+1\right)}+\dfrac{1}{x+2}\right)\)
\(=\dfrac{\left(x+2\right)\left(x-1\right)\left(x+1\right)}{2\left(x+5\right)}\cdot\left(\dfrac{-\left(x-3\right)}{\left(x-1\right)\left(x+1\right)}+\dfrac{1}{x+2}\right)\)
\(=\dfrac{\left(x+2\right)\left(x-1\right)\left(x+1\right)}{2\left(x+5\right)}\cdot\dfrac{-\left(x^2-x-6\right)+x^2-1}{\left(x-1\right)\left(x+1\right)\left(x+2\right)}\)
\(=\dfrac{-x^2+x+6+x^2-1}{2\left(x+5\right)}=\dfrac{x+5}{2\left(x+5\right)}=\dfrac{1}{2}\)
bai2.
a. x=1
b.x=0;1
c.x=8