Question

4x2+20x+25

Answer 1

$$\begin{gathered} 4{\mathrm{x}}^2+20\mathrm{x}+25=4{\mathrm{x}}^2+10\mathrm{x}+10\mathrm{x}+25 \\ =2\mathrm{x}\left(2\mathrm{x}+5\right)+5\left(2\mathrm{x}+5\right) \\ =\left(2\mathrm{x}+5\right)\left(2\mathrm{x}+5\right) \\ \Rightarrow \mathbf{4}{\mathbf{x}}^{\mathbf{2}}\mathbf{+}\mathbf{20}\mathbf{x}\mathbf{+}\mathbf{25}\mathbf{=}\left(\mathbf{2}\mathbf{x}\mathbf{+}\mathbf{5}\right)\left(\mathbf{2}\mathbf{x}\mathbf{+}\mathbf{5}\right) \end{gathered}$$