Find the product of :
$(3 x^{2} - 4 x y) (3 x^{2} - 4 x y)$

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Solution

Solution :-
$(3 x^{2} - 4 x y) (3 x^{2} - 4 x y)$

$\Rightarrow 3 x^{2} (3 x^{2} - 4 x y) - 4 x y (3 x^{2} - 4 x y)$

$\Rightarrow 9 x^{4} - 12 x^{3} y - 12 x^{3} y + 16 x^{2} y^{2}$

$\Rightarrow 9 x^{4} - 24 x^{3} y + 16 x^{2} y^{2}$

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3 x, (- 4 x y), 2 x^{2}, 3 y^{2}, 5 x^{3} y^{2}

$F i r s t m o n o m i a l \to - --------------- \to ↓ S e c o n d m o n o m i a l$	2x	-5y	$3 x^{2}$	-4xy	$7 x^{2} y$	$- 9 x^{2} y^{2}$
2x	$4 x^{2}$	-	-	-	-	-
- 5y	-	-	$- 15 x^{2} y$	-	-	-
$3 x^{2}$	-	-	-	-	-	-
- 4xy	-	-	-	-	-	-
$7 x^{2} y$	-	-	-	-	-	-
$- 9 x^{2} y^{2}$	-	-	-	-	-	-

(\frac{4}{3} x^{2} + 3) (\frac{4}{3} x^{2} + 3)

(\frac{2}{3} x^{2} + 5 y^{2}) (\frac{4}{3} x^{2} + 5 y^{2})

$\frac{F i r s t m o n o m i a l \to}{S e c o n d m o n o m i a l ↓}$	$2 x$	$- 5 y$	$3 x^{2}$	$- 4 x y$	$7 x^{2} y$	$- 9 x^{2} y^{2}$
$2 x$	$4 x^{2}$	.....	.....	.....	.....	.....
$- 5 y$	.....	.....	$- 15 x^{2} y$	.....	.....	.....
$3 x^{2}$	.....	.....	.....	.....	.....	.....
$- 4 x y$	.....	.....	.....	.....	.....	.....
$7 x^{2} y$	.....	.....	.....	.....	.....	.....
$- 9 x^{2} y^{2}$	.....	.....	.....	.....	.....	.....

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