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, \(3\left(x-y\right)-y+x=3\left(x-y\right)-\left(y-x\right)=4\left(x-y\right)\)
e, \(5\left(x-y\right)-x^2+xy=5\left(x-y\right)-x\left(x-y\right)=\left(5-x\right)\left(x-y\right)\)
g, \(x\left(x-y\right)+3\left(x-y\right)=\left(x+3\right)\left(x-y\right)\)
h, \(xy\left(x+y\right)-2x-2y=xy\left(x+y\right)-2\left(x+y\right)=\left(xy-2\right)\left(x+y\right)\)
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) 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: \(93\cdot32+14\cdot16\)
\(=93\cdot2\cdot16+14\cdot16\)
\(=16\left(186+14\right)\)
\(=16\cdot200=3200\)

