Divide: 12x2 + 7xy − 12y2 by 3x + 4y - Mathematics

Divide: 12x² + 7xy − 12y² by 3x + 4y

Sum

`"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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Chapter 11: Algebraic Expressions - Exercise 11 (D) [Page 145]

Chapter 11 Algebraic Expressions
Exercise 11 (D) | Q 1.11 | Page 145

Divide as directed.

5(2x + 1) (3x + 5) ÷ (2x + 1)

Divide as directed.

20(y + 4) (y² + 5y + 3) ÷ 5(y + 4)

Factorise the expression and divide them as directed.

5pq(p² − q²) ÷ 2p(p + q)

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:
4a²b³, −12a³b, 18a⁴b³

Find the greatest common factor (GCF/HCF) of the following polynomial:
2x³y², 10x²y³, 14xy

Divide: a² + 7a + 12 by a + 4

Divide: 6x³− 13x² − 13x + 30 by 2x² − x − 6

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

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