Question

factorize 9a square + 24ab + 16b square​

Answer 1

Answer:

To factorise of : 9a² - 24ab + 16b²  

salutation:-

9a² - 24ab + 16b²

= ( 3a )² - 2 × 3a × 4b + ( 4b )²

= ( 3a - 4b )² [ • Using identity ]

= ( 3a - 4b ) ( 3a - 4b ) [ • Required answer ]

Verification :-

( 3a - 4b ) ( 3a - 4b )

= 3a ( 3a - 4b ) - 4b ( 3a - 4b )

= 9a² - 12ab - 12ab + 16b²

= 9a² - 24ab + 16b² [ • Proved ]

Used identity :-

( a - b )² = a² - 2ab + b²

Step-by-step explanation:

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