Question

25(2a-b)^2-81b^2
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Answer 1

hey mates your answer is here

mysticd Genius

Hi ,

we know the algebraic identity

x² - y² = ( x + y )(x - y )

Now ,

25(2a - b )² - 81b²

= [ 5 ( 2a - b )]² - ( 9b)²

= ( 10a - 5b )² - ( 9b )²

= ( 10a - 5b + 9b )(10a -5b - 9b )

= ( 10a + 4b ) ( 10a - 14b )

= [ 2 ( 5a + 2b ) ] [ 2( 5a - 7b )]

= 4(5a + 2b )(5a - 7b )

I hope this helps you.

may be it's helpful for you

please mark me as brainliest ✌️✌️

Answer 2

hey mates your answer is here

mysticd Genius

Hi ,

we know the algebraic identity

x² - y² = ( x + y )(x - y )

Now ,

25(2a - b )² - 81b²

= [ 5 ( 2a - b )]² - ( 9b)²

= ( 10a - 5b )² - ( 9b )²

= ( 10a - 5b + 9b )(10a -5b - 9b )

= ( 10a + 4b ) ( 10a - 14b )

= [ 2 ( 5a + 2b ) ] [ 2( 5a - 7b )]

= 4(5a + 2b )(5a - 7b )

I hope this helps you.

may be it's helpful for you

please mark me as brainliest ✌️