Math, asked by amanrajput6392990573, 11 months ago


x ^{2}  - 16

Answers

Answered by rishu6845
0

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

Answered by Aɾꜱɦ
14

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(x+4) (x-3)

#answerwithquality #bal

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