Divide: 12x2 + 7xy − 12y2 by 3x + 4y

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.

52pqr (p + q) (q + r) (r + p) ÷ 104pq (q + r) (r + p)

Factorise the expression and divide them as directed.

(m² − 14m − 32) ÷ (m + 2)

Factorise the expression and divide them as directed.

(5p² − 25p + 20) ÷ (p − 1)

Find the greatest common factor (GCF/HCF) of the following polynomial:
2x² and 12x²

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

Divide: x² + 3x − 54 by x − 6

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

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

The product of two numbers-is 16x⁴ – 1. If one number is 2x – 1, find the other.