Divide: 12x2 + 7xy − 12y2 by 3x + 4y

Divide: 12x² + 7xy − 12y² by 3x + 4y

योग

`"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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अध्याय 11: Algebraic Expressions - Exercise 11 (D) [पृष्ठ १४५]

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

Work out the following division:

9x²y²(3z − 24) ÷ 27xy(z − 8)

Divide as directed.

5(2x + 1) (3x + 5) ÷ (2x + 1)

Find the greatest common factor (GCF/HCF) of the following polynomial:
12ax², 6a²x³ and 2a³x⁵

Find the greatest common factor (GCF/HCF) of the following polynomial:
9x², 15x²y³, 6xy² and 21x²y²

Find the greatest common factor (GCF/HCF) of the following polynomial:
4a²b³, −12a³b, 18a⁴b³

Find the greatest common factor (GCF/HCF) of the following polynomial:
36a²b²c⁴, 54a⁵c², 90a⁴b²c²

Divide: x⁶ − 8 by x² − 2

Find the quotient and the remainder when 3x⁴ + 6x³ − 6x² + 2x − 7 is divided by x − 3. in case, verify your answer.

The area of a rectangle is x³ – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.

Divide x⁶ – y⁶ by the product of x² + xy + y² and x – y.