Divide: X5 - 15x4 - 10x2 by -5x2

Divide: x⁵ - 15x⁴ - 10x² by -5x²

Sum

x⁵ - 15x⁴ - 10x² by -5x²

`= ("x"^5 - 15"x"^4 - 10"x"^2)/"- 5x"^2`

`= ("x"^5)/"-5x"^2 - (15"x"^4)/"-5x"^2 - (10"x"^2)/"-5x"^2`

= `(- 1)/5 "x"^3 + 3"x"^2 + 2`

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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 5.5

Factorize x( x - 2)( x - 4) + 4x - 8

Factorize `x^2 + 12/35 x + 1/35`

Factorize the following expressions

64a³ – b³

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

Factorize: x⁴ + x² + 25.

The value of \[\frac{(0 . 013 )^3 + (0 . 007 )^3}{(0 . 013 )^2 - 0 . 013 \times 0 . 007 + (0 . 007 )^2}\] is

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

Give an algebraic equation for the following statement:

“The difference between the area and perimeter of a rectangle is 20”.

An equation is true for all values of its variables.

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.