1,\(=4x\left(x-\dfrac{3}{2}\right)\)
2,\(=-7y^3\left[2x^2y\left(2y+x\right)+3\right]\)
3, = 4x(a-b)-6xy(a-b)
=2x(a-b)(2-3y)
4,
=3(2x+1)-(2x-5)(2x+1)
=(3-2x+5)(2x+1)
=(8-2x)(2x+1)
=2(4-x)(2x+1)
5: \(4\left(x-3\right)^2+2x\left(3-x\right)\)
\(=\left(x-3\right)\left(4x-12\right)-2x\left(x-3\right)\)
\(=\left(x-3\right)\left(2x-12\right)\)
\(=2\left(x-6\right)\left(x-3\right)\)
8: \(\left(3x-1\right)^2-\left(x+3\right)^2\)
\(=\left(3x-1-x-3\right)\left(3x-1+x+3\right)\)
\(=\left(2x-4\right)\left(4x+2\right)\)
\(=4\left(x-2\right)\left(2x+1\right)\)