Question of the Day

Find the Maclaurin Series of $\frac{4x^2-3}{\left(1-x\right)\left(1-2x\right)^2}$ where $x$ is small i.e. less than $\frac{1}{2}$ in magnitude. But, you can’t use the formula for the Maclaurin Series however you may use the fact that $\frac{1}{1-x} = 1 + x + x^2 + x^3 + \cdots $.