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Addition and Subtraction of Algebraic Expression

Find the prod...

Question

Find the product:
(9x + 5y) × (4x + 3y)

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Solution

By horizontal method:

$(9 x + 5 y) \times (4 x + 3 y) 9 x (4 x + 3 y) + 5 y (4 x + 3 y) = 36 x^{2} + 27 x y + 20 x y + 15 y^{2} = 36 x^{2} + 47 x y + 15 y^{2}$

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$(9 x + 5 y) \times (4 x + 3 y)$

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First $\to$ Second $↓$	$3 x$	$- 6 y$	$4 x^{2}$	$- 8 x y$	$9 x^{2} y$	$- 11 x^{3} y^{2}$
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