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`

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पाठ 5: Factorisation of Algebraic Expressions - Exercise 5.1 [पृष्ठ ९]

पाठ 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 15 | पृष्ठ ९

Factorize: a (a + b)³ - 3a²b (a + b)

Given possible expressions for the length and breadth of the rectangle having 35y² + 13y – 12 as its area.

Factorize the following expressions:

a³ + b³ + a + b

Factorize 8a³ – 27b³ – 36a²b + 54ab²

`2sqrt2a^3 + 16sqrt2b^3 + c^3 - 12abc`

Multiply: x²+ 4y² + 2xy − 3x + 6y + 9 by x − 2y + 3

If a² + b² + c² = 20 and a + b + c = 0, find ab + bc + ca.

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

Express the following as an algebraic expression:

Sum of p and 2r – s minus sum of a and 3n + 4x.

Complete the table.