a/ a3 - a2x - ay + xy
= a2(a -x) - y(a-x)
= (a-x).(a2-y)
b/ 5(m-n) - m+n
= 5(m-n) - (m-n)
= (m-n).(5-1)
= (m-n).4
c/ x(x-y)+x-y
= (x-y).(x+1)
d/ 2x + 2y + x(x+y)
= 2.(x+y) + x(x+y)
= (x+y).(x+2)
e/ a2 + ab - 5a - 5b
= a.(a+b) - 5.(a+b)
= (a+b).(a-5)
a) \(a^3-a^2x-ay+xy\)
\(=a^2\left(a-x\right)-y\left(a-x\right)\)
\(=\left(a-x\right)\left(a^2-y\right)\)
b) \(5\left(m-n\right)-m+n\)
\(=5\left(m-n\right)-\left(m-n\right)\)
\(=4\left(m-n\right)\)
c) \(x\left(x-y\right)+x-y\)
\(=\left(x-y\right)\left(x+1\right)\)
d) \(2x+2y+x\left(x+y\right)\)
\(=2\left(x+y\right)+x\left(x+y\right)\)
\(=\left(x+y\right)\left(2+x\right)\)
e) \(a^2+ab-5a-5b\)
\(=a\left(a+b\right)-5\left(a+b\right)\)
\(=\left(a+b\right)\left(a-5\right)\)
a) \(a^3 - a^2x - ay + xy\)
\(= (a^3 - a^2x) - (ay - xy)\)
\(= a^2 (a - x) - y(a-x)\)
\(=(a - x) (a^2 - y)\)
b) \(5(m-n) - m + n\)
\(=5(m-n) - (m-n)\)
\(= (m-n) (5-1)\)
\(= (m - n) 4\)
c) \(x(x-y) + x - y\)
\(=\) \(x(x-y) +(x-y)\)
\(= (x-y) (x+1)\)
d) \(2x + 2y +x(x+y)\)
\(=\) \((2x+2y) + x(x+y)\)
\(= 2(x+y) + x(x+y)\)
\(=\) \((x+y) (x+2)\)
e) \(a^2+ab-5a-5b\)
\(=(a^2 + ab) - (5a + 5b)\)
\(=a(a+b) - 5(a+b)\)
\(= (a+b)(a-5)\)
HỌC TỐT NHÉ !!!