25 x 26 - 25 24 x 26 + 1
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\(24\cdot25\cdot26\)
\(=6\cdot4\cdot25\cdot26\)
\(=6\cdot100\cdot26\)
\(=176\cdot100\)
\(=17600\)
24 x 25 x 26
= 6 x 4 x 25 x 6
= 100 x 6 x 26
= 100 x 156
= 15600
( 26 - 25 + 3 ) . ( 48 - 24 . 2 )
= ( 1 + 3 ) . ( 48 - 48 )
= 4 . 0
= 0
\(\frac{x-19}{24}\)+ \(\frac{x-19}{25}\)= \(\frac{x-19}{26}\)+ \(\frac{x-19}{27}\)
<=> \(\frac{x-19}{24}\)+ \(\frac{x-19}{25}\)- \(\frac{x-19}{26}\)- \(\frac{x-19}{27}\)= 0
<=> \(\frac{x}{24}\)- \(\frac{19}{24}\)+ \(\frac{x}{25}\)- \(\frac{19}{25}\)- \(\frac{x}{26}\)+\(\frac{19}{26}\)- \(\frac{x}{27}\)+\(\frac{19}{27}\)= 0
<=> \(\left(\frac{x}{24}+\frac{x}{25}-\frac{x}{26}-\frac{x}{27}\right)+\left(-\frac{19}{24}-\frac{19}{25}+\frac{19}{26}-\frac{19}{27}\right)=0\)
<=> \(x\left(\frac{1}{24}+\frac{1}{25}-\frac{1}{26}-\frac{1}{27}\right)-19\left(\frac{1}{24}+\frac{1}{25}-\frac{1}{26}-\frac{1}{27}\right)=0\)
<=> \(x\left(\frac{1}{24}+\frac{1}{25}-\frac{1}{26}-\frac{1}{27}\right)\)= \(19\left(\frac{1}{24}+\frac{1}{25}-\frac{1}{26}-\frac{1}{27}\right)\)
<=> x = 19
\(\frac{25.26-25}{24.26+1}=\frac{\left(24+1\right).26-25}{24.26+1}\)
\(=\frac{24.26+26-25}{24.26+1}\)
\(=\frac{24.26+1}{24.26+1}=1\)