\(a.3xy\left(y-3\right)+y-3=\left(y-3\right)\left(3xy+1\right)\\ b.\left(x-4\right)^{^2}-4y^{^2}=\left(x-4-4y\right)\left(x-4+4y\right)\\ c.\left(5x-\dfrac{1}{3}y\right)\left(5x+\dfrac{1}{3}y\right)\\ d.\left(x+4\right)^{^2}-1=\left(x+4-1\right)\left(x+4+1\right)=\left(x+3\right)\left(x+5\right)\\ e.x^{^2}+2x-3x-6=x\left(x+2\right)-3\left(x+2\right)=\left(x+2\right)\left(x-3\right)\\ f.2x^{^2}+x-6x-3=x\left(2x+1\right)-3\left(2x+1\right)=\left(2x+1\right)\left(x-3\right)\)
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