Divide: n2 − 2n + 1 by n − 1 - Mathematics

Divide:

n² − 2n + 1 by n − 1

Sum

n² − 2n + 1 by n − 1

n − 1
`n − 1)overline(n^2 − 2n + 1)(`
n² − n
  − +
− n + 1
− n + 1
+ −
   0 0
= n − 1

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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 2.01

Factorize the following expressions:

x³y³ + 1

Factorize the following expressions:

a³ + 3a²b + 3ab² + b³ - 8

a³ + 8b³ + 64c³ - 24abc

`(x/2 + y + z/3)^3 + (x/2 + (2y)/3 + z)^3 + (-(5x)/6 - y/3 - (4z)/3)^3`

Find the value of the following expression: 81x² + 16y² − 72xy, when \[x = \frac{2}{3}\] and \[y = \frac{3}{4}\]

If x² + y² = 29 and xy = 2, find the value of x⁴ + y⁴.

Multiply: x² + 4y² + z³ + 2xy + xz − 2yz by x − 2y − z

Divide: 8a² + 4a - 60 by 2a - 5

Divide: 3y³ - 9ay² - 6ab²y by -3y

An equation is true for all values of its variables.