factorize 125a^3 -27b^3+ 75a^2b - 45ab2
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Answered by
38
If your polynomial is
Then the factorised form is:
Then the factorised form is:
sawhneyanish001:
Plz give the solution
Answered by
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 .
=>(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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