\(a)4x^2-6x\)
\(=2x\left(2x-3\right)\)
\(b)9x^4y^3+3x^2y^4\)
\(=3x^2y^3\left(3x^2+y\right)\)
\(c)x^3-2x^2+5x\)
\(=x\left(x^2-2x+5\right)\)
\(d)3x(x-1)+5(x-1)\)
\(=\left(x-1\right)\left(3x+5\right)\)
\(e)2x^2(x+1)+4(x+1)\)
\(=\left(x+1\right)\left(2x^2+4\right)\)
\(=2\left(x+1\right)\left(x^2+2\right)\)
\(f)-3x-6xy+9xz\)
\(=-3x\left(1+2y-3z\right)\)
\(=-3x\left(2y-3z+1\right)\)
a) \(4x^2-6x\)
\(=2x\left(2x-3\right)\)
b) \(9x^4y^3+3x^2y^4\)
\(=3x^2y^3\left(3x^2+y\right)\)
c) \(x^3-2x^2+5x\)
\(=x\left(x^2-2x+5\right)\)
d) \(3x\left(x-1\right)+5\left(x-1\right)\)
\(=\left(x-1\right)\left(3x+5\right)\)
e) \(2x^2\left(x+1\right)+4\left(x+1\right)\)
\(=\left(x+1\right)\left(2x^2+4\right)\)
\(=2\left(x^2+2\right)\left(x+1\right)\)
f) \(-3x-6xy+9xz\)
\(=-\left(3x+6xy+9xz\right)\)
\(=-3x\left(1+2y+3z\right)\)
