Factorise :\large 16-81x^2
Answers
Answer:
x= 4/9
Step-by-step explanation:
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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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