Math, asked by tenznyima61, 7 months ago

Factorise :\large 16-81x^2

Answers

Answered by ArpitaBura
0

Answer:

x= 4/9

Step-by-step explanation:

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Answered by Devika45
0

Answer:

Equations : Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations 16-81x^2=0 so that you ...

Step-by-step explanation:

Rewrite 81x2 81 x 2 as (9x)2 ( 9 x ) 2 . (9x)2−16 ( 9 x ) 2 - 16. Rewrite 16 16 as 42 4 2 . (9x)2−42 ( 9 x ) 2 - 4 2. Since

both terms are perfect squares, factor using ...

x=94=0.444

x=−94=−0.444

2.1      Factoring:  16-81x2 

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  16  is the square of  4 

Check : 81 is the square of 9

Check :  x2  is the square of  x1 

Factorization is :       (4 + 9x)  •  (4 - 9x) 

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