factorize 125a^3 -27b^3+ 75a^2b - 45ab^2
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125 a³ - 27b³ +75 a²b - 45ab²
=>(5a)³ - (3b)³ +15ab( 5a -3b) -> (here use the identity a³ - b³ = (a-b)(a²+ab+b²))
So, we get write (5a)³ - (3b)³ in the form of above given identity
=> (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) -> (here use the identity a³ - b³ = (a-b)(a²+ab+b²))
So, we get write (5a)³ - (3b)³ in the form of above given identity
=> (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.
sawhneyanish001:
But it is plus sign so what to do..
It's wrong
Ok i got it wait a minute
is it ok now?
Actually answer is (5a-3b)(5a+3b)^2
Yes it is correct
Plz explain
I edited the answer for much clear explaination
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