a)\(3\left(x-1\right)+5x\left(x-1\right)\)
\(=\left(5x+3\right)\left(x-1\right)\)
b)\(a^2-b^2-4a+4b\)
\(=\left(a-b\right)\left(a+b\right)-\left(4a-4b\right)\)
\(=\left(a-b\right)\left(a+b\right)-4\left(a-b\right)\)
\(=\left(a-b\right)\left(a+b-4\right)\)
c)\(2x^2+5x-3\)
\(=2x^2-x+6x-3\)
\(=x\left(2x-1\right)+3\left(2x-1\right)\)
\(=\left(x+3\right)\left(2x-1\right)\)