Question

Factorise the following using appropriate identities: 49 x²-81y²

please give me the proper answer
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Answer 1

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 - b 2 = ( a + b ) ( a - b ) where a=7x a = 7 x and b=9y b = 9 y

Answer 2

Answer :-

⇒ 49x² - 81y²

Using,

• a² - b² (a + b)(a - b)

⇒ 49x² - 81y²

⇒ (7x)² - (9y)²

Here,

• a = 7x
• b = 9x

⇒ (7x + 9y)(7x - 9y)

• 49x² - 81y² = (7x + 9y)(7x - 9y)