Question

Write an algebraic expression of the statement $p^{2}q$ subtracted from $p{q}^2$.

Answer 1

Algebraic Expression :- The expression formed by meaningful combination of variables, constants and operations ( + , - , ÷ , × etc. )

Let the two variables be p and q

multiplying $p,pandq$ we get $p^{2}q$ ( ist term )

multiplying $p,qandq$ we get $p{q}^2$( second term )

subtracting $p^{2}q$from $p{q}^2$we get $\begin{array}{l}p{q}^2-q{p}^2\\ Pq\left(q-p\right)\end{array}$

Hence, algebraic expression of the statement $p^{2}q$ subtracted from $p{q}^2$ is $\begin{array}{l}p{q}^2-q{p}^2\\ Pq\left(q-p\right)\end{array}$