O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Algebraic Expressions, Exercise 2: Exercise

Add

$\begin{array}{ccc}& 3p^2+& 2pq\\ +& 3p^2-& 7pq\\ & k{p}^2& -5pq\end{array}$

Find the value of $k$

Add

$\begin{array}{cccc}& 4a^2& +6a& -8\\ & -a^2& & +11\\ +& 6a^2& -3a& +2\\ & m{a}^2& +ka& +5\end{array}$

Find the value of $m+k$

Subtract:

$\begin{array}{cc}8x& +10\\ 2x& +4\\ & \end{array}$

Subtract:

$\begin{array}{ccc}& 7r& -11s\\ -& 2r& +4s\\ & & \end{array}$

Subtract:

$\begin{array}{ccc}& 5a& +3b\\ & 6a& -b\\ & & \end{array}$

Subtract:

$\begin{array}{cccc}& 5x^2& +8x& -17\\ & 2x^2& -4x& -15\\ & m{x}^2& +nx& -2\end{array}$

Find the value of $m-n$

If $\left\{\left(6x^2-9xy-11y^2\right)-\left(7x^2-2xy+3y^2\right)\right\}+(2x^2-23xy-10y^2)=x^2-axy-b{y}^2$ then find the value of $a+b$.

If the expression of the form $w{a}^3-x{a}^2+ya-z$ is added to $3a^3-4a+6$ to get $7a^3-4a^2+10a-6$, find the value of $w+x+y+z$.