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

Question:

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

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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