Question

Factorise the following given below:
81 x² - 225 y²
​

Answer 1

Step-by-step explanation:

81x2−225y281x2-225y2

Factor 99 out of 81x2−225y281x2-225y2.

Factor 99 out of 81x281x2.

9(9x2)−225y29(9x2)-225y2

Factor 99 out of −225y2-225y2.

9(9x2)+9(−25y2)9(9x2)+9(-25y2)

Factor 99 out of 9(9x2)+9(−25y2)9(9x2)+9(-25y2).

9(9x2−25y2)9(9x2-25y2)

Rewrite 9x29x2 as (3x)2(3x)2.

9((3x)2−25y2)9((3x)2-25y2)

Rewrite 25y225y2 as (5y)2(5y)2.

9((3x)2−(5y)2)9((3x)2-(5y)2)

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b)a2-b2=(a+b)(a-b) where a=3xa=3x and 

Answer 2

Answer:

(9x + 15y)(9x - 15y). Answer

Step-by-step explanation:

Following this identity:

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

Here,

81x^2 - 225y^2,

9x - 15y

(9x + 15y)(9x - 15y)

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