Solution

\[ \begin{align*} \text{No. of Ashoka trees planted} & = (3x + 1)(x^3 + x^2 - 1) \\ & = 3x (x^3 + x^2 - 1) + 1(x^3 + x^2 - 1) \\ & = 3x^4 + 3x^3 - 3x + x^3 + x^2 - 1 \\ & = 3x^4 + 4x^3 + x^2 - 3x - 1 \\ \\ \text{No. of Mango trees planted} & = (x - 3)(2x^2 + 1) \\ & = x (2x^2 + 1) -3(2x^2 + 1) \\ & = 2x^3 + x - 6x^2 - 3 \\ & = 2x^3 - 6x^2 + x - 3 \\ \\ \text{Total No. of trees planted} &= \text{No. of Ashoka trees} + \text{No. of Mango trees} \\ \\ & = (3x^4 + 4x^3 + x^2 - 3x - 1) + (2x^3 - 6x^2 + x - 3) \\ & = 3x^4 + 4x^3 + x^2 - 3x - 1 + 2x^3 - 6x^2 + x - 3 \\ & = 3x^4 {\color{magenta}+ 4x^3 + 2x^3} {\color{green}+ x^2 - 6x^2} {\color{blue} - 3x + x} {\color{orange} - 1 - 3} \\ & = 3x^4 {\color{magenta}+ 6x^3} {\color{green}- 5x^2} {\color{blue} - 2x} {\color{orange} - 4} \end{align*} \]

Answer Total number of trees planted \( = \color{red} 3x^4 + 6x^3 - 5x^2 - 2x - 4 \)

Answer Trees make the environment green, fresh and beautiful.

Solution

\[ \begin{align*} & \text{ Total no. of road accidents:} \\ & = \text{City }A + \text{City }B + \text{City }C \\ & = (p^2 - 4p + 3) + (6p - 7 + 2p^2) + (p + 10 + 2p^2) \\ & = p^2 - 4p + 3 + 6p - 7 + 2p^2 + p + 10 + 2p^2 \\ & = {\color{magenta} p^2 + 2p^2 + 2p^2} \color{green} - 4p + 6p + p \color{blue} + 3 - 7 + 10 \\ & = {\color{magenta} 5p^2} \color{green} + 3p \color{blue}+ 6 \end{align*} \]

Answer Total no. of road accidents: \( \color{red} 5p^2 + 3p + 6 \)

Answer Traffic rules should be implemented and followed sincerely and defaulters should be penalised.