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devlian [24]
3 years ago
5

( 8x² + 8xy + 6x – 6y2 + 9y) ÷ (4x – 2y + 3)​

Mathematics
1 answer:
kakasveta [241]3 years ago
8 0

Answer:

The quotient of this division is (2x + 3y)  with remainder 0

Step-by-step explanation:

The given division is as :

( 8x² + 8xy +6x - 6y² + 9y ) ÷ ( 4x - 2y + 3)

<u>Multiply the divisor by 2x</u>

Or, (4x - 2y + 3) × (2x ) = 8x²-  4xy + 6x

so, ( 8x² + 8xy +6x - 6y² + 9y ) - (8x² - 4xy + 6x) = 12xy  - 6y² +9y

<u>Again multiply the divisor by 3y </u>

Again , (4x - 2y + 3) × (3y ) = 12xy -6y² +9y

Or, (12xy  - 6y² +9y) - (12xy  - 6y² +9y) = 0

So from division method we get the quotient as  (2x + 3y )    and remainder is 0  Answer

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