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\(\text{312.(-18)+312.(-81)-312}.\)
\(=312\left(-18-81-1\right)=312\left(-18-82\right)=312.\left(-100\right)=-31200\)
a) \(255+312+188+645\)
\(=\left(255+645\right)+\left(312+188\right)\)
\(=900+500\)
\(=1400\)
b) \(25+12\cdot5-60\)
\(=25+60-60\)
\(=25\)
c) \(12\cdot75+12\cdot7+12\cdot18\)
\(=12\cdot\left(75+7+18\right)\)
\(=12\cdot100\)
\(=1200\)
d) \(2^4\cdot5-\left[131-\left(13-4\right)^2\right]\)
\(=16\cdot5-\left(131-9^2\right)\)
\(=80-\left(131-81\right)\)
\(=80-50\)
\(=30\)
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\(=\left(763+37\right)+\left(888+312\right)+237=800+1200+237=2237\)
37 + 312 + 237 + 888 + 763
= ( 237 + 763 ) + ( 312 + 888 ) + 37
= 1000 + 1200 + 37
= 2237
\(2.3^{x+1}=10.3^{12}+8.3^{12}\\ VP=\left(10+8\right).3^{12}=18.3^{12}=2.3^2.3^{12}\\ =2.3^{2+12}=2.3^{14}\\ VT=VP\\ \Rightarrow2.3^{x+1}=2.3^{14}\\ \Rightarrow x+1=14\\ Vậy:x=14-1=13\)
\(2\cdot3^{x+1}=10\cdot3^{12}+8\cdot3^{12}\\\Rightarrow 2\cdot3^{x+1}=3^{12}\cdot(10+8)\\\Rightarrow 2\cdot3^{x+1}=3^{12}\cdot18\\\Rightarrow 2\cdot3^{x+1}=3^{12}\cdot3^2\cdot2\\\Rightarrow 3^{x+1}=3^{12}\cdot3^2\\\Rightarrow 3^{x+1}=3^{14}\\\Rightarrow x+1=14\\\Rightarrow x=14-1\\\Rightarrow x=13\\Vậy:x=13\)
=312.(-18)-312.81-312.1
=312.[(-18)-81-1]
=312.(-100)
=-31200
312.(-18)+(-312).81-312
=312.(-18)+312.(-81)-312
=312.[(-18)+(-81)-1]
=312.[(-99)-1]
=312.(-100)
=-31200