Divide: 15x2 + 31xy + 14y2 by 5x + 7y

Divide: 15x² + 31xy + 14y² by 5x + 7y

Sum

15x² + 31xy + 14y² by 5x + 7y

3x + 2y
`"5x" + "7y")overline("15x"^2 + 31"xy" + 14"y"^2)(`
15x² − 21xy
− −
10xy + 14y²
10xy + 14y²
− −
xxx
= 3x + 2y

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Chapter 11: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (D)

Chapter 11 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (D) | Q 2.1

Factorize (a - b + c)² + (b - c + a)² + 2(a - b + c) (b - c + a)

Factorize `2x^2 - 5/6x + 1/12`

Factorize the following expressions:

`x^3/216 - 8y^3`

If x + y = 4 and xy = 2, find the value of x² + y²

(x + y)³ − (x − y)³ can be factorized as

Divide: 10a³ - 15a²b by - 5a²

The area of a rectangular field is 25x2 + 20xy + 3y2 square unit. If its length is 5x + 3y unit, find its breadth, Hence find its perimeter.

Divide: 5x² - 3x by x

The constant term of the expression 2y – 6 is _________

Express the following properties with variables x, y and z.

Commutative property of addition