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Answer:
( x + 4 ) ( x - 4 )
Step-by-step explanation:
Given---> x² - 16
To find---> Find the factor
Solution---> We have an identitiy
a² - b² = ( a + b ) ( a - b )
Now, returing to original problem
x² - 16 = x × x - 4 × 4
= ( x )² - ( 4 )²
Applying a² - b² = ( a + b ) ( a - b )
= ( x + 4 ) ( x - 4 )
Additional identities --->
(1) ( a + b )² = a² + b² + 2ab
(2) ( a - b )² = a² + b² - 2ab
(3) ( a + b )³ = a³ + b³ + 3ab ( a + b )
(4) ( a - b )³ = a³ - b³ - 3ab ( a - b )
(5) a³ + b³ = ( a + b ) ( a² + b² - ab )
(6 ) a³ - b³ = ( a - b ) ( a² + b² + ab )
(7) (a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca
(8) (x + a ) (x + b ) = x² + ( a + b )x + ab
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(x+4) (x-3)
#answerwithquality #bal
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