Bài 3:
a) \(4x^3-14x^2\)
\(=x^2\left(4x-14\right)\)
b) \(5y^{10}+15y^6\)
\(=5y^6\left(y^4+3\right)\)
c) \(9x^2y^2+15x^2y-21xy^2\)
\(=3xy\left(3xy+5x-7y\right)\)
d) \(25ab^2\left(x-y\right)-75ba^5b\left(y-x\right)+100ab^3\left(x-y\right)\)
\(=25ab^2\left(x-y\right)+75a^5b^2\left(x-y\right)+100ab^3\left(x-y\right)\)
\(=25ab\left(x-y\right)\left[b+3a^4b+4b^2\right]\)
Bài 2:
a) \(7x+7y\)
\(=7\left(x+y\right)\)
b) \(5ab+10bc-15bx\)
\(=5b\left(a+2c-3x\right)\)
c) \(9a\left(c-d\right)-12b\left(c-d\right)\)
\(=\left(c-d\right)\left(9a-12b\right)\)
\(=3\left(c-d\right)\left(3a-4b\right)\)
d) \(50xy\left(c-d\right)+70xyz\left(c-d\right)\)
\(=\left(c-d\right)\left(50xy+70xyz\right)\)
\(=10xy\left(c-d\right)\left(5+7z\right)\)
e) \(5x\left(x-1\right)+7\left(x-1\right)\)
\(=\left(x-1\right)\left(5x+7\right)\)
f) \(3x\left(x-a\right)+5x\left(a-x\right)+4\left(a-x\right)\)
\(=-3x\left(a-x\right)+5x\left(a-x\right)+4\left(a-x\right)\)
\(=\left(a-x\right)\left(-3x+5x+4\right)\)
\(=\left(a-x\right)\left(2x+4\right)\)
\(=2\left(a-x\right)\left(x+2\right)\)
1:
a: 3xy+7xyz=xy(3+7z)
b: 6ab-12bc=6b(a-2c)
c: 30xyz-20xyc+80xyd
=10xy(3z-2c+8d)
d: 15a^2bc-20ab^2c+35abc^2
=5abc(3a-4b+7c)