Q10. - Algebra 2

Question

Simplify $2p^{2}q(5pq-3p^3{q}^2+4p{q}^4)$ .

Step-by-Step Solution

Answer

The simplified value of expression is $10p^3{q}^2-6p^5{q}^3+8p^3{q}^5$ .

Step 1. Write down the given expression.

The given expression to simplify is $2p^{2}q(5pq-3p^3{q}^2+4p{q}^4)$ .

Step 2. Simplify the given expression.

Simplifying $2p^{2}q(5pq-3p^3{q}^2+4p{q}^4)$  gives,

$\begin{array}{c}2p^{2}q(5pq-3p^3{q}^2+4p{q}^4)=\left(2p^{2}q\right)\left(5pq\right)-\left(2p^{2}q\right)\left(3p^3{q}^2\right)+\left(2p^{2}q\right)\left(4p{q}^4\right)\\ =10p^{2+1}{q}^{1+1}-6p^{2+3}{q}^{1+2}+8p^{2+1}{q}^{1+4}\\ =10p^3{q}^2-6p^5{q}^3+8p^3{q}^5\end{array}$

Step 3. Conclusion.

The simplified value of expression is  $10p^3{q}^2-6p^5{q}^3+8p^3{q}^5$