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Number Properties (Language)

Multiply in h...

Question

Multiply (in horizontal and vertical arrangement):

(7) (2x + y) (3x + 2y)

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Solution

(2x + y) (3x + 2y)
Horizontal arrangement:
= (2x + y) × 3x + (2x + y) × 2y
= 2x × 3x + y × 3x + 2x × 2y + y × 2y
= 6x² + 3xy + 4xy + 2y²
= 6x² + 7xy + 2y²

Vertical arrangement:
$\begin{matrix} \begin{matrix} 2 x & + & y \end{matrix} \\ \begin{matrix} \times & 3 x & + & 2 y \end{matrix} \\ \begin{matrix} 4 x y & + & 2 y^{2} \end{matrix} \\ \begin{matrix} + & 6 x^{2} & + & 3 x y \end{matrix} \\ \begin{matrix} 6 x^{2} & + & 7 x y & + & 2 y^{2} \end{matrix} \end{matrix}$

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Number Properties (Language)

Standard VII Mathematics

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