Chapter 4, Problem 2CR

To determine

To write the letter of the correct answer.

Answer to Problem 2CR

The required solution is , $p\left(p-2q\right)+3\left(pq-q^2\right)=p^2+pq-3q^2$ .

Opyion B.

Explanation of Solution

Given information: The equation is , $p\left(p-2q\right)+3\left(pq-q^2\right)$ .

Concept used: Adding Polynomial.

To add two or more polynomials,write their sum and then simplify by combining similiar terms.

Calculation: The required solution is obtained as,

  $\begin{array}{l}p\left(p-2q\right)+3\left(pq-q^2\right)\\ =p^2-2pq+3pq-3q^2\\ =p^2-3q^2+\left(-2pq+3pq\right)\\ =p^2-3q^2+pq\\ =p^2+pq-3q^2\end{array}$

Hence, the required solution is , $p\left(p-2q\right)+3\left(pq-q^2\right)=p^2+pq-3q^2$ .

Option B.