Factorize 21x^2 - 2x + 1/21 - Mathematics

Factorize `21x^2 - 2x + 1/21`

`= (sqrt21x)^2 - 2 xx sqrt21x xx 1/sqrt21 + (1/sqrt21)^2`

Using idnetity `a^2 - 2ab + b^2 = (a - b)^2`

`= (sqrt21x - 1/sqrt21)^2`

`∴ 21x^2 - 2x + 1/21 = (sqrt21x - 1/sqrt21)^2`

shaalaa.com

Is there an error in this question or solution?

Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.1 [Page 9]

Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 15 | Page 9

Get the algebraic expression in the following case using variables, constants and arithmetic operations.

The number z multiplied by itself.

Factorize the following expressions

64a³ – b³

Factorize the following expressions:

54x⁶y + 2x³y⁴

Factorize a³ x³ - 3a2bx² + 3ab² x - b³

x³ - 8y³ + 27z³ +18xyz

Simplify : \[\frac{1 . 2 \times 1 . 2 \times 1 . 2 - 0 . 2 \times 0 . 2 \times 0 . 2}{1 . 2 \times 1 . 2 + 1 . 2 \times 0 . 2 + 0 . 2 \times 0 . 2}\]

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

The solution of the equation `"3x" - 1/2 = 5/2 + "x"` is ______.

If x = 2 and y = 3, then find the value of the following expressions

2x – 3y

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

Associative property of addition