Divide: 12x2 + 7xy − 12y2 by 3x + 4y

Divide: 12x² + 7xy − 12y² by 3x + 4y

बेरीज

`"3x"+"4y") overline(12"x"^2+7"xy"-12"y"^2)(4"x"-3"y"`
`12"x"^2 + 16"xy"`
− −
−9xy − 12y²
−9xy − 12
+ +
×

∴ 4x − 3y

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पाठ 11: Algebraic Expressions - Exercise 11 (D) [पृष्ठ १४५]

पाठ 11 Algebraic Expressions
Exercise 11 (D) | Q 1.11 | पृष्ठ १४५

Factorise the expression and divide them as directed.

12xy(9x² − 16y²) ÷ 4xy(3x + 4y)

Find the greatest common factor (GCF/HCF) of the following polynomial:
7x, 21x² and 14xy²

Find the greatest common factor (GCF/HCF) of the following polynomial:
42x²yz and 63x³y²z³

Find the greatest common factor (GCF/HCF) of the following polynomial:
a²b³, a³b²

Divide: x⁶ − 8 by x² − 2

Divide: 4a² + 12ab + 9b² − 25c² by 2a + 3b + 5c

Divide: 16 + 8x + x⁶ − 8x³ − 2x⁴ + x² by x + 4 − x³

Find the quotient and the remainder when :
a³− 5a² + 8a + 15 is divided by a + 1. verify your answer.

Find the quotient and the remainder when :
6x² + x − 15 is divided by 3x + 5. verify your answer.