Divide: m2 − 2mn + n2 by m − n

Divide: m² − 2mn + n² by m − n

Sum

m² − 2mn + n² by m − n

m − n
`"m" − "n")overline("m"^2 - 2"mn" + "n"^2)(`
m² − mn
− +
− mn + n²
− mn + n²
+ −
xxx
= m − n

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Chapter 13: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (D)

Chapter 13 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (D) | Q 2.02

Factorize `x^2 + 2sqrt3x - 24`

Factorize the following expressions:

( x + 2)³ + ( x - 2)³

Factorize the following expressions:

a³ + b³ + a + b

Factorize 8a³ – 27b³ – 36a²b + 54ab²

Write the value of \[\left( \frac{1}{2} \right)^3 + \left( \frac{1}{3} \right)^3 - \left( \frac{5}{6} \right)^3 .\]

Factorize : x² − 1 − 2a − a²

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

Evaluate: - 4y (15 + 12y - 8z) (x - 2y)

The area of a rectangle is 6x² – 4xy – 10y² square unit and its length is 2x + 2y unit. Find its breadth.

The figure shows the dimensions of a wall having a window and a door of a room. Write an algebraic expression for the area of the wall to be painted.