\(b,=\left|a\left(a+1\right)\right|=a\left(a+1\right)\\ c,=\dfrac{\left|y\right|\sqrt{63y}}{\sqrt{7y}}=y\sqrt{\dfrac{63y}{7y}}=y\sqrt{9}=3y\\ d,=\left(x-3\right)\left|\dfrac{\left(x-2\right)^2}{3-x}\right|=\left(x-3\right)\cdot\dfrac{\left(x-2\right)^2}{3-x}=-\left(x-2\right)^2\\ e,=3\left|b-2\right|=3\left(2-b\right)=6-2b\\ f,=\left|b\left(b-1\right)\right|=-b\left(1-b\right)=b^2-b\\ g,=\left|\dfrac{xy^3}{3\left(x-1\right)}\right|\cdot\left(x-1\right)=\dfrac{xy^3}{3\left(1-x\right)}\cdot\left(x-1\right)=-\dfrac{xy^3}{3}\)