Question

Simplify: $(p+q)(p+2q)$

Answer 1

Simplifying the algebraic expression

Multiplication of two binomials: Multiply each term of one binomial with each term of the other binomial and combine the like terms in the product.

$\begin{array}{rcl}(p+q)(p+2q)& =& p\times p+p\times 2q+q\times p+q\times 2q\\ & =& p^2+2pq+pq+2q^2\\ & =& p^2+3pq+2q^2\end{array}$

Therefore, simplified result is $p^2+3pq+2q^2$.