Divide: 2m3n5 by - Mn - Mathematics

Divide: 2m³n⁵ by - mn

Sum

2m³n⁵ by - mn

`= (2"m"^3"n"^5)/(- "mn")`

= - 2m²n⁴

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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 5.1

Factorize a² + 2ab + b² - c²

Factorize `x^2 + 6sqrt2x + 10`

Factorize the following expressions:

a³ + b³ + a + b

Factorize 8a³+ 27b³ + 36a²b + 54ab²

The factors of 8a³ + b³ − 6ab + 1 are

Multiply: (-2x + 3y)(2x - 3y)

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

Divide: x³ − 6x² + 11x − 6 by x² − 4x + 3

The simplest form of 5 ÷ `(3/2) - 1/3` is ______.

Match Column I with Column II in the following:

Column I	Column II
1. The difference of 3 and a number squared	(a) 4 – 2x
2. 5 less than twice a number squared	(b) n² – 3
3. Five minus twice the square of a number	(c) 2n² – 5
4. Four minus a number multiplied by 2	(d) 5 – 2n²
5. Seven times the sum of a number and 1	(e) 3 – n²
6. A number squared plus 6	(f) 2(n + 6)
7. 2 times the sum of a number and 6	(g) 7(n + 1)
8. Three less than the square of a number	(h) n² + 6