Bài 1:
a) \(x^2-7x=x\left(x-7\right)\)
b) \(5x-10y=5\left(x-2y\right)\)
c) \(5x^2-15xy=5x\left(x-3y\right)\)
d) \(3\left(x-y\right)-y+x=3\left(x-y\right)+x-y=4\left(x-y\right)\)
e) \(5\left(x-y\right)-x^2+xy=5\left(x-y\right)-x\left(x-y\right)=\left(x-y\right)\left(5-x\right)\)
Bài 2 :
a, \(75.20,9+5^2.20,9=20,9\left(75+25\right)=20,9.100=2090\)
b, \(85.15+150.1,4=85.15+15.14=15.99=1485\)
c, \(93.32+14.16=186.16+14.16=16.200=3200\)
d, \(98,6.199-990.9,86=98,6.199-99.98,6=98,6.100=9860\)
Bài 2:
a) Ta có: \(75\cdot20,9+5^2\cdot20,9\)
\(=20,9\left(75+25\right)\)
\(=20,9\cdot100=2090\)
b) Ta có: \(85\cdot15+150\cdot1,4\)
\(=85\cdot15+14\cdot15\)
\(=15\left(85+14\right)\)
\(=15\cdot99=1500-15=1485\)
c) Ta có: \(93\cdot32+14\cdot16\)
\(=93\cdot2\cdot16+14\cdot16\)
\(=16\left(186+14\right)\)
\(=16\cdot200=3200\)