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Multiplication of Any Polynomial

Find each of ...

Question

Find each of the following products:

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

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Solution

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

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(9x + 5y) × (4x + 3y)

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Q. Complete the following table of products of two monomials:

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

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