Question

$25b {}^{2} - 81a {?}^{2}$
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Answer 1

25b² - 81a²

=> ( 5b )² - ( 9a )²

=> ( 5b - 9a ) ( 5b + 9a )

{ a² - b² = ( a - b ) ( a + b ) }

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Answer 2

Step-by-step explanation:

25b² - 81a²

[25b² = 5*5*b*b = (5b)² & 81 a² = 9*9*a*a = (9a)²]

=(5b)² - (9a)²

= (5b + 9a)(5b - 9a) [a² - b² = (a + b)(a - b)]

Therefore,

25b² - 81a² = (5b + 9a)(5b - 9a)

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