Math, asked by sawhneyanish001, 1 year ago

factorize 125a^3 -27b^3+ 75a^2b - 45ab2

Answers

Answered by rocka
38
If your polynomial is 125 a^3 - 27 b^3 + 75 a^2 b - 45 a b^2

Then the factorised form is:

(5 a + 3 b)^2 (5 a - 3 b)

sawhneyanish001: Plz give the solution
sawhneyanish001: The method to solve this
Anonymous: 125 is the cube root of 5.
Anonymous: And all of them are roots..
HarishAS: Your answerr is wrong
HarishAS: Sorry it is correct
rocka: It's ok, mistakes happen <3
HarishAS: :)
Answered by HarishAS
128
125 a³ - 27b³  +75 a²b - 45ab²
=>(5a)³ - (3b)³ + 15ab( 5a -3b)

=> (5a -3b)(25a² + 15ab + 9b²) +15ab(5a - 3b)  (Take 5a- 3b as common)

=>(5a-3b) ( 25a² + 15ab + 9b² +15ab)

=>(5a - 3b) (5a + 3b)²

Hope my answer is  helpful to u .
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