Question

Multiply (Iin horizontal and vertical arrangement):

(9) (2 + y) (3 + y)

Answer 1

(2 + y) (3 + y)
Horizontal arrangement:
= (2 + y) × 3 + (2 + y) × y
= 2 × 3 + y × 3 + 2 × y + y × y
= 6 + 3y + 2y + y²
= 6 + 5y + y²

Vertical arrangement:
$\begin{array}{c}\begin{array}{cccccc}& & & 2& +& y\end{array}\\ \begin{array}{cccccc}& & +& 3& +& y\end{array}\\ \overline{\begin{array}{cccccc}& & & 2y& +& y^2\end{array}}\\ \begin{array}{cccccc}+& 6& +& 3y& & \end{array}\\ \underline{\overline{\begin{array}{cccccc}& 6& +& 5y& +& y^2\end{array}}}\end{array}$