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

Work out the following division:

(10x − 25) ÷ (2x − 5)

Divide as directed.

26xy(x + 5) (y − 4) ÷ 13x(y − 4)

Factorise the expression and divide them as directed.

39y³(50y²− 98) ÷ 26y²(5y + 7)

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:
42x²yz and 63x³y²z³

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:
2x³y², 10x²y³, 14xy

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

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