Simplify -3x-2-5y-2- -4xy-5y-6x-3y nbsp- nbsp-15xy nbsp- nbsp-20xy-3 nbsp- 5y-3-12x-3y nbsp- nbsp-15x-2y nbsp- nbsp-20xy-3 nbsp- 25y-3-12x-3y nbsp- nbsp-5x-2y nbsp- 10xy-3 - nbsp-25y-3-6x-3y nbsp- nbsp-15x-2y nbsp- 10xy-3 nbsp- 5y-3-

The correct option is B (12x^3y nbsp; nbsp;15x^2y nbsp;+ nbsp;20xy^3 nbsp; 25y^3)Given: (3x^2+5y^2) (4xy 5y) =3x^2 (4xy 5y) +5y^2 (4xy 5y) = nbsp ...

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Multiplication of a Binomial by a Binomial

Simplify (3x^...

Question

Simplify $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ .

$(6 x^{3} y - 15 x y + 20 x y^{3} - 5 y^{3})$

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$(12 x^{3} y - 5 x^{2} y + 10 x y^{3} + 25 y^{3})$

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(12 x^{3} y - 15 x^{2} y + 20 x y^{3} - 25 y^{3})

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(6 x^{3} y - 15 x^{2} y + 10 x y^{3} - 5 y^{3})

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Solution

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Simplify $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ .

25 x^{3} y^{2} \div 15 x^{2} y

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

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

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