Question

Multiply (in horizontal and vertical arrangement):

(1) (x + 2) × (x + 3)

Answer 1

(x + 2) × (x + 3)
Horizontal arrangement:
(x + 2) × (x + 3)
= (x + 2) × x + (x + 2) × 3
= x × x + x × 2 + 3 × x + 3 × 2
= x² + 2x + 3x + 6
= x² + 5x + 6
Vertical arrangement:
$\begin{array}{c}\begin{array}{ccccc}& & x& +& 2\end{array}\\ \begin{array}{ccccc}& \times & x& +& 3\end{array}\\ \overline{\begin{array}{ccccc}& & 3x& +& 6\end{array}}\\ \begin{array}{ccccc}+x^2& +& 2x& & \end{array}\\ \underline{\overline{\begin{array}{ccccc}{x}^2& +& 5x& +& 6\end{array}}}\end{array}$