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\(42\times38+58\times39\)
\(=42\times\left(40-2\right)+58\times\left(40-1\right)\)
\(=42\times40-42\times2+58\times40-58\times1\)
\(=1680-84+2320-58\)
\(=1680+2320-\left(84+58\right)\)
\(=4000-142=3858\)
\(42.38+58.39=42.38+58.\left(38+1\right)\)
\(=42.38+58.38+58\)
\(=38.\left(58+42\right)+58=38.100+58\)
\(=3800+58=3858\)
25 x 5 x 4 x 27 x 2
= ( 25 x 4 ) x ( 5 x 2 ) x 27
= 100 x 10 x 27
= 1000 x 27
= 27000
(111*222+444*888)/(222*444+333*666)=(111*111*2+444*444*2)/(222*222*2+333*333*2)=[(1112+4442)*2]/[(2222+3332)*2]=(1112+1112*42)/(1112*22+1112*32)=[(1112)(1+16)]/[(111)2(4+9)]=17/13
\(=5.22\left(3134+275\cdot2+1.079\cdot4\right)\)
\(=5.22\cdot3688.316=19253.00952\)
\(17.12.25+51.2.5+85.14\)
\(=17.12.25+17.3.2.5+17.5.14\)
\(=17.2.2.3.5.5+17.2.3.5+17.5.2.7\)
\(=17.2.5\left(2.3.5+3+7\right)\)
\(=170.40\)
\(=6800\)
17.12.25+51.2.5+85.14
=17.3.4.25+51.2.5+17.5.14
=17.3.(4.25)+51.10+17.5.14
=17.3.100+17.3.10+17.5.7.2
=17.3.100+17.3.10+17.7.10
=17.(3.100+3.10+7.10)
=17.(300+30+70)
=17.400=6800