Question

Rahul's monthly salary is Rs. 2p³ + p $-$ 3. His annual expenditure is Rs 14p² + 6p $-$ 10. Find his annual savings.

Answer 1

$$\begin{gathered} \mathrm{Given}:\mathrm{Rahul}\text{'}\mathrm{s}\mathrm{monthly}\mathrm{salary}=\mathrm{Rs}\left(2p^2+p-3\right) \\ A\mathrm{nnual}\mathrm{salary}=12\left(\mathrm{monthly}\mathrm{salary}\right)=\mathrm{Rs}12\left(2p^2+p-3\right) \\ =\mathrm{Rs}\left(24p^2+12p-36\right) \\ \mathrm{And}\mathrm{his}\mathrm{annual}\mathrm{expenditure}=\mathrm{Rs}\left(14p^2+6p-10\right) \\ \mathrm{Annual}\mathrm{saving}=\mathrm{Annual}\mathrm{salary}-\mathrm{annual}\mathrm{expenditure} \\ =\mathrm{Rs}\left(24p^2+12p-36\right)-\mathrm{Rs}\left(14p^2+6p-10\right) \\ =\mathrm{Rs}\left[\left(24p^2+12p-36\right)-\left(14p^2+6p-10\right)\right] \\ =\mathrm{Rs}\left(24p^2+12p-36-14p^2-6p+10\right) \\ =\mathrm{Rs}\left(24p^2-14p^2+12p-6p-36+10\right) \\ =\mathrm{Rs}\left(10p^2+6p-26\right) \end{gathered}$$