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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:
2x+y× 3x+2y 4xy+2y2+6x2+3xy 6x2+7xy+2y2

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